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6 (six) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called '' cardinal ...
following 5 and preceding 7. It is a
composite number A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, ...
and the smallest
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. T ...
.


In mathematics

Six is the smallest positive integer which is neither a
square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The u ...
nor a
prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only way ...
; it is the second smallest
composite number A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, ...
, behind 4; its proper
divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
s are , and . Since 6 equals the sum of its proper divisors, it is a
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. T ...
; 6 is the smallest of the perfect numbers. It is also the smallest
Granville number In mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in mode ...
, or \mathcal-perfect number. As a perfect number: *6 is related to the
Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17 ...
3, since . (The next perfect number is 28.) *6 is the only even
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. T ...
that is not the sum of successive odd cubes. *6 is the root of the 6-aliquot tree, and is itself the aliquot sum of only one other number; the
square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals and can be written as . The u ...
, . Six is the only number that is both the sum and the product of three consecutive positive numbers. Unrelated to 6's being a perfect number, a Golomb ruler of length 6 is a "perfect ruler". Six is a congruent number. Six is the first discrete biprime (2 × 3) and the first member of the (2 × ''q'') discrete biprime family. Six is a unitary perfect number, a
primary pseudoperfect number In mathematics, and particularly in number theory, ''N'' is a primary pseudoperfect number if it satisfies the Egyptian fraction equation :\frac + \sum_\frac = 1, where the sum is over only the prime divisors of ''N''. Properties Equivalently, ...
, a harmonic divisor number and a superior highly composite number, the last to also be a
primorial In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function ...
. There are no Graeco-Latin squares with order 6. If ''n'' is a natural number that is not 2 or 6, then there is a Graeco-Latin square with order ''n''. There is not a prime p such that the multiplicative order of 2 modulo p is 6, that is, ord_p(2) = 6 By Zsigmondy's theorem, if n is a natural number that is not 1 or 6, then there is a prime p such that ord_p(2) = n. See for such p. The ring of integer of the sixth cyclotomic field , which is called
Eisenstein integer In mathematics, the Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are the complex numbers of the form :z = a + b\omega , where and are integers and :\omega = \f ...
, has 6 units: ±1, ±ω, ±ω2, where \omega = \frac(-1 + i\sqrt 3) = e^. The smallest non-
abelian group In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is com ...
is the
symmetric group In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group ...
''S''3 which has 3! = 6 elements. ''S''6, with 720 = 6 !
elements Element or elements may refer to: Science * Chemical element, a pure substance of one type of atom * Heating element, a device that generates heat by electrical resistance * Orbital elements, parameters required to identify a specific orbit of ...
, is the only finite symmetric group which has an outer automorphism. This automorphism allows us to construct a number of exceptional mathematical objects such as the S(5,6,12) Steiner system, the
projective plane In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that ...
of order 4 and the Hoffman-Singleton graph. A closely related result is the following theorem: 6 is the only natural number ''n'' for which there is a construction of ''n'' isomorphic objects on an ''n''-set ''A'', invariant under all permutations of ''A'', but not naturally in one-to-one correspondence with the elements of ''A''. This can also be expressed category theoretically: consider the
category Category, plural categories, may refer to: Philosophy and general uses *Categorization, categories in cognitive science, information science and generally * Category of being * ''Categories'' (Aristotle) * Category (Kant) * Categories (Peirce) ...
whose objects are the ''n'' element sets and whose arrows are the bijections between the sets. This category has a non-trivial
functor In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, an ...
to itself only for . Six similar coins can be arranged around a central coin of the same radius so that each coin makes contact with the central one (and touches both its neighbors without a gap), but seven cannot be so arranged. This makes 6 the answer to the two-dimensional kissing number problem. The densest
sphere packing In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three- dimensional Euclidean space. However, sphere pack ...
of the plane is obtained by extending this pattern to the
hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A ''regular hexagon'' h ...
al lattice in which each circle touches just six others. 6 is the largest of the four all-Harshad numbers. A six-sided
polygon In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed '' polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two t ...
is a hexagon, one of the three regular polygons capable of
tiling the plane A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called ''tiles'', with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of ge ...
. Figurate numbers representing hexagons (including six) are called hexagonal numbers. Because 6 is the product of a power of 2 (namely 21) with nothing but distinct Fermat primes (specifically 3), a regular hexagon is a constructible polygon. Six is also an octahedral number. It is a
triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots i ...
and so is its square (). There are six basic
trigonometric functions In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in ...
. There are six convex regular polytopes in four
dimensions In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coord ...
. The six exponentials theorem guarantees (given the right conditions on the exponents) the transcendence of at least one of a set of exponentials. All primes above 3 are of the form 6''n'' ± 1 for ''n'' ≥ 1. 6 is a
pronic number A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n(n+1).. The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers,. or rectangular number ...
and the only semiprime to be. There are six different ways in which 100 can be expressed as the sum of two prime numbers -- 3 + 97, 11 + 89, 17 + 83, 29 + 71, 41 + 59 and 47 + 53.


List of basic calculations


Greek and Latin word parts


'

' is classical
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
for "six". Thus: *"
Hexadecimal In mathematics and computing, the hexadecimal (also base-16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Unlike the decimal system representing numbers using 10 symbols, h ...
" combines ' with the Latinate ' to name a number base of 16 *A
hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A ''regular hexagon'' h ...
is a
regular polygon In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew. In the limit, a sequence ...
with six sides **' is a French nickname for the continental part of
Metropolitan France Metropolitan France (french: France métropolitaine or ''la Métropole''), also known as European France (french: Territoire européen de la France) is the area of France which is geographically in Europe. This collective name for the European ...
for its resemblance to a
regular hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A '' regular hexagon'' has ...
*A hexahedron is a polyhedron with six faces, with a
cube In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross. The cube is the on ...
being a special case * Hexameter is a poetic form consisting of six feet per line *A "hex nut" is a nut with six sides, and a hex
bolt The BOLT Browser was a web browser for mobile phones including feature phones and smartphones that can run Java ME applications. The BOLT Browser was offered free of charge to consumers and by license to mobile network operators and handset manuf ...
has a six-sided head *The prefix "" also occurs in the systematic name of many
chemical compound A chemical compound is a chemical substance composed of many identical molecules (or molecular entities) containing atoms from more than one chemical element held together by chemical bonds. A molecule consisting of atoms of only one ele ...
s, such as hexane which has 6 carbon atoms ().


The prefix ''sex-''

''Sex-'' is a
Latin Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power ...
prefix A prefix is an affix which is placed before the stem of a word. Adding it to the beginning of one word changes it into another word. For example, when the prefix ''un-'' is added to the word ''happy'', it creates the word ''unhappy''. Particu ...
meaning "six". Thus: *''Senary'' is the ordinal adjective meaning "sixth" *People with sexdactyly have six fingers on each hand *The measuring instrument called a
sextant A sextant is a doubly reflecting navigation instrument that measures the angular distance between two visible objects. The primary use of a sextant is to measure the angle between an astronomical object and the horizon for the purposes of cel ...
got its name because its shape forms one-sixth of a whole
circle A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is const ...
*A group of six musicians is called a sextet *Six babies delivered in one birth are sextuplets * Sexy prime pairs – Prime pairs differing by six are ''sexy'', because sex is the Latin word for six. The
SI prefix The International System of Units, known by the international abbreviation SI in all languages and sometimes pleonastically as the SI system, is the modern form of the metric system and the world's most widely used system of measurement. ...
for 10006 is
exa- A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pre ...
(E), and for its reciprocal atto- (a).


Evolution of the Arabic digit

The evolution of our modern digit 6 appears rather simple when compared with the other digits. The modern 6 can be traced back to the
Brahmi numerals The Brahmi numerals are a numeral system attested from the 3rd century BCE (somewhat later in the case of most of the tens). They are a non positional decimal system. They are the direct graphic ancestors of the modern Hindu–Arabic numeral ...
of
India India, officially the Republic of India ( Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the ...
, which are first known from the
Edicts of Ashoka The Edicts of Ashoka are a collection of more than thirty inscriptions on the Pillars of Ashoka, as well as boulders and cave walls, attributed to Emperor Ashoka of the Maurya Empire who reigned from 268 BCE to 232 BCE. Ashoka used the expres ...
circa 250 BCE. It was written in one stroke like a cursive lowercase e rotated 90 degrees clockwise. Gradually, the upper part of the stroke (above the central squiggle) became more curved, while the lower part of the stroke (below the central squiggle) became straighter. The Arabs dropped the part of the stroke below the squiggle. From there, the European evolution to our modern 6 was very straightforward, aside from a flirtation with a glyph that looked more like an uppercase G. On the
seven-segment display A seven-segment display is a form of electronic display device for displaying decimal numerals that is an alternative to the more complex dot matrix displays. Seven-segment displays are widely used in digital clocks, electronic meters, basic ...
s of calculators and watches, 6 is usually written with six segments. Some historical calculator models use just five segments for the 6, by omitting the top horizontal bar. This glyph variant has not caught on; for calculators that can display results in hexadecimal, a 6 that looks like a "b" is not practical. Just as in most modern
typeface A typeface (or font family) is the design of lettering that can include variations in size, weight (e.g. bold), slope (e.g. italic), width (e.g. condensed), and so on. Each of these variations of the typeface is a font. There are thousands ...
s, in typefaces with
text figures Text figures (also known as non-lining, lowercase, old style, ranging, hanging, medieval, billing, or antique figures or numerals) are numerals designed with varying heights in a fashion that resembles a typical line of running text, hence the ...
the character for the digit 6 usually has an ascender, as, for example, in . This digit resembles an inverted ''9''. To disambiguate the two on objects and documents that can be inverted, the 6 has often been underlined, both in handwriting and on printed labels.


In music


In artists

*' ("The Six" in English) was a group consisting of the French composers , , , , and in the 1920s * Bands with the number six in their name include
Six Organs of Admittance Six Organs of Admittance is the primary musical project of American guitarist Ben Chasny. Chasny's music is largely guitar-based and is often considered new folk; however, it includes obvious influences, marked by the use of drones, chimes, and ...
, 6 O'Clock Saints, Electric Six,
Eve 6 Eve 6 is an American rock band formed in 1995 in Southern California, best known for their hit singles "Inside Out," "Leech," "Here's to the Night," and "Promise." They disbanded in 2004, returned for numerous tours in 2007 with a new lineup, ...
, Los Xey (' is Basque for "six"), Out On Blue Six, Six In Six, Sixpence None the Richer,
Slant 6 Slant 6 was an American punk rock trio based in Washington, D.C. affiliated with early riot grrrl. Slant 6 consisted of Christina Billotte (electric guitar and vocals), Myra Power (electric bass guitar and vocals), and Marge Marshall (drum se ...
, Vanity 6, and You Me At Six * #6 is the pseudonym of American musician Shawn Crahan, when performing with the band Slipknot


In instruments

*A standard
guitar The guitar is a fretted musical instrument that typically has six strings. It is usually held flat against the player's body and played by strumming or plucking the strings with the dominant hand, while simultaneously pressing selected string ...
has six strings *Most
woodwind Woodwind instruments are a family of musical instruments within the greater category of wind instruments. Common examples include flute, clarinet, oboe, bassoon, and saxophone. There are two main types of woodwind instruments: flutes and ...
instruments have six basic holes or keys (e.g., bassoon, clarinet, pennywhistle, saxophone); these holes or keys are usually not given numbers or letters in the fingering charts


In music theory

*There are six whole tones in an octave. *There are six semitones in a tritone.


In works

*"Six geese a-laying" were given as a present on the sixth day in the popular
Christmas carol A Christmas carol is a carol (a song or hymn) on the theme of Christmas, traditionally sung at Christmas itself or during the surrounding Christmas holiday season. The term noel has sometimes been used, especially for carols of French or ...
, "
The Twelve Days of Christmas The Twelve Days of Christmas, also known as Twelvetide, is a festive Christian season celebrating the Nativity of Jesus. In some Western ecclesiastical traditions, "Christmas Day" is considered the "First Day of Christmas" and the Twelve Days a ...
." *Divided in six arias, '' Hexachordum Apollinis'' is generally regarded as one of the pinnacles of
Johann Pachelbel Johann Pachelbel (baptised – buried 9 March 1706; also Bachelbel) was a German composer, organist, and teacher who brought the south German organ schools to their peak. He composed a large body of sacred and secular music, and his contrib ...
's oeuvre. *The theme of the sixth album by Dream Theater, '' Six Degrees of Inner Turbulence'', was the number six: the album has six songs, and the sixth song — that is, the complete second disc — explores the stories of six individuals suffering from various mental illnesses. *
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical Greece, Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatet ...
gave six elements of tragedy, the first of which is Mythos.


In religion

*In Judaism: **Six points on a
Star of David The Star of David (). is a generally recognized symbol of both Jewish identity and Judaism. Its shape is that of a hexagram: the compound of two equilateral triangles. A derivation of the '' seal of Solomon'', which was used for decorat ...
**Six orders of the
Mishnah The Mishnah or the Mishna (; he, מִשְׁנָה, "study by repetition", from the verb ''shanah'' , or "to study and review", also "secondary") is the first major written collection of the Jewish oral traditions which is known as the Oral Tora ...
**Six symbolic foods placed on the
Passover Seder Plate The Passover Seder plate ( he, קערה, ''ke'ara'') is a special plate containing symbolic foods eaten or displayed at the Passover Seder. The purpose of the Passover Seder plate is to show all the foods that perpetuate and emphasize the ideas ...
**
God In monotheistic thought, God is usually viewed as the supreme being, creator, and principal object of faith. Swinburne, R.G. "God" in Honderich, Ted. (ed)''The Oxford Companion to Philosophy'', Oxford University Press, 1995. God is typically ...
took six days to create the world in the
Old Testament The Old Testament (often abbreviated OT) is the first division of the Christian biblical canon, which is based primarily upon the 24 books of the Hebrew Bible or Tanakh, a collection of ancient religious Hebrew writings by the Israelites. The ...
Book of Genesis The Book of Genesis (from Greek ; Hebrew: בְּרֵאשִׁית ''Bəreʾšīt'', "In hebeginning") is the first book of the Hebrew Bible and the Christian Old Testament. Its Hebrew name is the same as its first word, ( "In the beginning" ...
; humankind was created on day 6. In the ''City of God'',
Augustine of Hippo Augustine of Hippo ( , ; la, Aurelius Augustinus Hipponensis; 13 November 354 – 28 August 430), also known as Saint Augustine, was a theologian and philosopher of Berber origin and the bishop of Hippo Regius in Numidia, Roman North A ...
suggested (book 11, chapter 30) that God's creation of the world took six days because 6 is a
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. T ...
. **The
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
holiday of
Shavuot (''Ḥag HaShavuot'' or ''Shavuos'') , nickname = English: "Feast of Weeks" , observedby = Jews and Samaritans , type = Jewish and Samaritan , begins = 6th day of Sivan (or the Sunday following the 6th day of Sivan i ...
starts on the sixth day of the
Hebrew Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved ...
month of
Sivan ''Sivan'' (Hebrew: סִיוָן, Standard ''Sīvan'', Tiberian ''Sīwān''; from Akkadian ''simānu'', meaning "Season; time") is the ninth month of the civil year and the third month of the ecclesiastical year on the Hebrew calendar. It is a ...
**
Seraph A seraph (, "burning one"; plural seraphim ) is a type of celestial or heavenly being originating in Ancient Judaism. The term plays a role in subsequent Judaism, Christianity, and Islam. Tradition places seraphim in the highest rank in Chris ...
s have six wings. *In Islam: **There are Six articles of belief **Fasting six days of
Shawwal Shawwal ( ar, شَوَّال, ') is the tenth month of the lunar based Islamic calendar. ''Shawwāl'' stems from the verb ''shāla'' () which means to 'lift or carry', generally to take or move things from one place to another, Fasting during S ...
, together with the month of Ramadan, is equivalent to fasting the whole year *In Hindu theology, a '' trasarenu'' is the combination of six celestial (
atoms Every atom is composed of a nucleus and one or more electrons bound to the nucleus. The nucleus is made of one or more protons and a number of neutrons. Only the most common variety of hydrogen has no neutrons. Every solid, liquid, gas ...
). *In Taoism: **Six Lines of a Hexagram ** Six Ministries of Huang Di


In science


Astronomy

*
Messier object The Messier objects are a set of 110 astronomical objects catalogued by the French astronomer Charles Messier in his ''Catalogue des Nébuleuses et des Amas d'Étoiles'' (''Catalogue of Nebulae and Star Clusters''). Because Messier was only i ...
M6, a magnitude 4.5
open cluster An open cluster is a type of star cluster made of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way galaxy, and ...
in the constellation Scorpius, also known as the Butterfly Cluster *The New General Cataloguebr>object
NGC 6, a
spiral galaxy Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work ''The Realm of the Nebulae''constellation Andromeda *The Roman numeral VI: **Stands for subdwarfs in the Yerkes spectral classification scheme **(Usually) stands for the sixth-discovered satellite of a planet or minor planet (e.g. Jupiter VI) * 6 Hebe


Biology

*The cells of a
beehive A beehive is an enclosed structure in which some honey bee species of the subgenus ''Apis'' live and raise their young. Though the word ''beehive'' is commonly used to describe the nest of any bee colony, scientific and professional literature ...
are six-sided. *
Insects Insects (from Latin ') are pancrustacean hexapod invertebrates of the class Insecta. They are the largest group within the arthropod phylum. Insects have a chitinous exoskeleton, a three-part body (head, thorax and abdomen), three pairs ...
have six legs. *Six kingdoms in the
taxonomic rank In biological classification, taxonomic rank is the relative level of a group of organisms (a taxon) in an ancestral or hereditary hierarchy. A common system consists of species, genus, family, order, class, phylum, kingdom, domain. While ol ...
below
domain (biology) In biological taxonomy, a domain ( or ) ( Latin: ''regio''), also dominion, superkingdom, realm, or empire, is the highest taxonomic rank of all organisms taken together. It was introduced in the three-domain system of taxonomy devised by Ca ...
; Animalia,
Plantae Plants are predominantly photosynthetic eukaryotes of the kingdom Plantae. Historically, the plant kingdom encompassed all living things that were not animals, and included algae and fungi; however, all current definitions of Plantae exclud ...
,
Fungi A fungus (plural, : fungi or funguses) is any member of the group of Eukaryote, eukaryotic organisms that includes microorganisms such as yeasts and Mold (fungus), molds, as well as the more familiar mushrooms. These organisms are classified ...
, Protista, Archaea/
Archaeabacteria Archaea ( ; singular archaeon ) is a domain of single-celled organisms. These microorganisms lack cell nuclei and are therefore prokaryotes. Archaea were initially classified as bacteria, receiving the name archaebacteria (in the Archaebact ...
, and
Bacteria Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were am ...
/
Eubacteria Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were among ...
. See
Kingdom (biology) In biology, a kingdom is the second highest taxonomic rank, just below domain. Kingdoms are divided into smaller groups called phyla. Traditionally, some textbooks from the United States and Canada used a system of six kingdoms (Animalia, Pla ...
. *The six elements most common in biomolecules are called the CHNOPS elements; the letters stand for the chemical abbreviations of
carbon Carbon () is a chemical element with the symbol C and atomic number 6. It is nonmetallic and tetravalent—its atom making four electrons available to form covalent chemical bonds. It belongs to group 14 of the periodic table. Carbon makes ...
,
hydrogen Hydrogen is the chemical element with the symbol H and atomic number 1. Hydrogen is the lightest element. At standard conditions hydrogen is a gas of diatomic molecules having the formula . It is colorless, odorless, tasteless, non-toxic ...
,
nitrogen Nitrogen is the chemical element with the symbol N and atomic number 7. Nitrogen is a nonmetal and the lightest member of group 15 of the periodic table, often called the pnictogens. It is a common element in the universe, estimated at seve ...
,
oxygen Oxygen is the chemical element with the symbol O and atomic number 8. It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as we ...
,
phosphorus Phosphorus is a chemical element with the symbol P and atomic number 15. Elemental phosphorus exists in two major forms, white phosphorus and red phosphorus, but because it is highly reactive, phosphorus is never found as a free element on Ea ...
, and
sulfur Sulfur (or sulphur in British English) is a chemical element with the symbol S and atomic number 16. It is abundant, multivalent and nonmetallic. Under normal conditions, sulfur atoms form cyclic octatomic molecules with a chemical formul ...
. See CHON.


Chemistry

*A benzene molecule has a ring of six carbon atoms. *6 is the
atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...
of carbon. *The sixfold symmetry of
snowflake A snowflake is a single ice crystal that has achieved a sufficient size, and may have amalgamated with others, which falls through the Earth's atmosphere as snow.Knight, C.; Knight, N. (1973). Snow crystals. Scientific American, vol. 228, no. ...
s arises from the
hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A ''regular hexagon'' h ...
al
crystal structure In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions or molecules in a crystalline material. Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns t ...
of ordinary ice. *A hexamer is an oligomer made of six subunits.


Medicine

*There are six tastes in traditional Indian medicine (
Ayurveda Ayurveda () is an alternative medicine system with historical roots in the Indian subcontinent. The theory and practice of Ayurveda is pseudoscientific. Ayurveda is heavily practiced in India and Nepal, where around 80% of the population repor ...
): sweet, sour, salty, bitter, pungent, and astringent. These tastes are used to suggest a diet based on the symptoms of the body. *Phase 6 is one of six pandemic influenza phases.


Physics

*In the Standard Model of particle physics, there are six types of quarks and six types of leptons. *In statistical mechanics, the six-vertex model has six possible configurations of arrows at each vertex *There are six colors in the RGB color wheel: (primary) red, blue, green, (secondary) cyan, magenta, and yellow. (See Tertiary color) *In
three-dimensional Three-dimensional space (also: 3D space, 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called ''parameters'') are required to determine the position of an element (i.e., point). This is the informal ...
Euclidean space Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, that is, in Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean sp ...
, there are six unknown support reactions for a statically determinate structure: one
force In physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a ...
in each of the three dimensions, and one
moment Moment or Moments may refer to: * Present time Music * The Moments, American R&B vocal group Albums * ''Moment'' (Dark Tranquillity album), 2020 * ''Moment'' (Speed album), 1998 * ''Moments'' (Darude album) * ''Moments'' (Christine Guldbrand ...
through each of three possible
orthogonal In mathematics, orthogonality is the generalization of the geometric notion of '' perpendicularity''. By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in ...
planes.


In sports

* The Original Six teams in the National Hockey League are
Toronto Toronto ( ; or ) is the capital city of the Provinces and territories of Canada, Canadian province of Ontario. With a recorded population of 2,794,356 in 2021, it is the List of the largest municipalities in Canada by population, most pop ...
,
Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = List of sovereign states, Count ...
,
Montreal Montreal ( ; officially Montréal, ) is the second-most populous city in Canada and most populous city in the Canadian province of Quebec. Founded in 1642 as '' Ville-Marie'', or "City of Mary", it is named after Mount Royal, the triple- ...
,
New York New York most commonly refers to: * New York City, the most populous city in the United States, located in the state of New York * New York (state), a state in the northeastern United States New York may also refer to: Film and television * '' ...
,
Boston Boston (), officially the City of Boston, is the capital city, state capital and List of municipalities in Massachusetts, most populous city of the Commonwealth (U.S. state), Commonwealth of Massachusetts, as well as the cultural and financ ...
, and
Detroit Detroit ( , ; , ) is the largest city in the U.S. state of Michigan. It is also the largest U.S. city on the United States–Canada border, and the seat of government of Wayne County. The City of Detroit had a population of 639,111 at ...
. They are the oldest remaining teams in the league, though not necessarily the first six; they comprised the entire league from 1942 to
1967 Events January * January 1 – Canada begins a year-long celebration of the 100th anniversary of Canadian Confederation, Confederation, featuring the Expo 67 World's Fair. * January 5 ** Spain and Romania sign an agreement in Paris, establ ...
. * Number of players: ** In
association football Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 players who primarily use their feet to propel the ball around a rectangular field called a pitch. The objective of the game is t ...
(soccer), the number of substitutes combined by both teams, that are allowed in the game. ** In
box lacrosse Box lacrosse, also known as boxla, box, or indoor lacrosse, is an indoor version of lacrosse played mostly in North America. The game originated in Canada in the 1930s, where it is more popular than field lacrosse. Lacrosse is Canada's officia ...
, the number of players per team, including the goaltender, that are on the floor at any one time, excluding penalty situations. ** In
ice hockey Ice hockey (or simply hockey) is a team sport played on ice skates, usually on an Ice rink, ice skating rink with Ice hockey rink, lines and markings specific to the sport. It belongs to a family of sports called hockey. In ice hockey, two o ...
, the number of players per team, including the goaltender, that are on the ice at any one time during regulation play, excluding penalty situations. (Some leagues reduce the number of players on the ice during overtime.) ** In
volleyball Volleyball is a team sport in which two teams of six players are separated by a net. Each team tries to score points by grounding a ball on the other team's court under organized rules. It has been a part of the official program of the Summ ...
: *** Six players from each team on each side play against each other. *** Standard rules only allow six total substitutions per team per set. (Substitutions involving the libero, a defensive specialist who can only play in the back row, are not counted against this limit.) **
Six-man football Six-man football is a variant of gridiron football played with six players per team, instead of the standard 11 or 12. It is generally played by high schools in rural areas of the United States and Canada. History Six-man football was developed ...
is a variant of American or Canadian football, played by smaller schools with insufficient enrollment to field the traditional 11-man (American) or 12-man (Canadian) squad. * Scoring: ** In both American and
Canadian football Canadian football () is a sport played in Canada in which two teams of 12 players each compete for territorial control of a field of play long and wide attempting to advance a pointed oval-shaped ball into the opposing team's scoring area ( ...
, 6 points are awarded for a touchdown. ** In Australian rules football, 6 points are awarded for a goal, scored when a kicked ball passes between the defending team's two inner goalposts without having been touched by another player. ** In
cricket Cricket is a bat-and-ball game played between two teams of eleven players on a field at the centre of which is a pitch with a wicket at each end, each comprising two bails balanced on three stumps. The batting side scores runs by st ...
, six runs are scored for the batting team when the ball is hit to the boundary or the ground beyond it without having touched the ground in the field. * In
basketball Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular court, compete with the primary objective of shooting a basketball (approximately in diameter) through the defender's h ...
, the ball used for women's full-court competitions is designated "size 6". * In most
rugby league Rugby league football, commonly known as just rugby league and sometimes football, footy, rugby or league, is a full-contact sport played by two teams of thirteen players on a rectangular field measuring 68 metres (75 yards) wide and 112 ...
competitions (but not the
Super League The Super League (officially known as the Betfred Super League due to sponsorship from Betfred and legally known as Super League Europe), is the top-level of the British rugby league system. At present the league consists of twelve teams, of ...
, which uses static squad numbering), the jersey number 6 is worn by the starting (Southern Hemisphere term) or (Northern Hemisphere term). * In
rugby union Rugby union, commonly known simply as rugby, is a Contact sport#Terminology, close-contact team sport that originated at Rugby School in the first half of the 19th century. One of the Comparison of rugby league and rugby union, two codes of ru ...
, the starting blindside flanker wears jersey number 6. (Some teams use "left" and "right" flankers instead of "openside" and "blindside", with 6 being worn by the starting left flanker.)


In technology

*On most phones, the 6 key is associated with the letters M, N, and O, but on the BlackBerry Pearl it is the key for J and K, and on the BlackBerry 8700 series and Curve 8900 with full keyboard, it is the key for F *The " 6-meter band" in
amateur radio Amateur radio, also known as ham radio, is the use of the radio frequency spectrum for purposes of non-commercial exchange of messages, wireless experimentation, self-training, private recreation, radiosport, contesting, and emergency communi ...
includes the frequencies from 50 to 54 MHz *6 is the
resin identification code The ASTM International Resin Identification Coding System, often abbreviated RIC, is a set of symbols appearing on plastic products that identify the plastic resin out of which the product is made. It was developed in 1988 by the Society of t ...
used in recycling to identify
polystyrene Polystyrene (PS) is a synthetic polymer made from monomers of the aromatic hydrocarbon styrene. Polystyrene can be solid or foamed. General-purpose polystyrene is clear, hard, and brittle. It is an inexpensive resin per unit weight. It is ...


In calendars

*In the ancient
Roman calendar The Roman calendar was the calendar used by the Roman Kingdom and Roman Republic. The term often includes the Julian calendar established by the reforms of the Roman dictator, dictator Julius Caesar and Roman emperor, emperor Augustus in the ...
, Sextilis was the sixth month. After the
Julian reform The Julian calendar, proposed by Roman consul Julius Caesar in 46 BC, was a reform of the Roman calendar. It took effect on , by edict. It was designed with the aid of Greek mathematicians and astronomers such as Sosigenes of Alexandria. ...
,
June June is the sixth month of the year in the Julian calendar, Julian and Gregorian calendars and is the second of four months to have a length of 30 days, and the third of five months to have a length of less than 31 days. June contains the summ ...
became the sixth month and Sextilis was renamed August *Sextidi was the sixth day of the '' décade'' in the French Revolutionary calendar


In the arts and entertainment


Games

*The number of sides on a cube, hence the highest number on a standard die *The six-sided tiles on a hex grid are used in many tabletop and
board games Board games are tabletop games that typically use . These pieces are moved or placed on a pre-marked board (playing surface) and often include elements of table, card, role-playing, and miniatures games as well. Many board games feature a ...
. *The highest number on one end of a standard
domino Dominoes is a family of tile-based games played with gaming pieces, commonly known as dominoes. Each domino is a rectangular tile, usually with a line dividing its face into two square ''ends''. Each end is marked with a number of spots (also ca ...


Comics and cartoons

*'' The Super 6'', a 1966 animated cartoon series featuring six different super-powered heroes.


Literature

*'' The Power of Six'' is a book written by Pittacus Lore, and the second in the Lorien Legacies series. *Number 6 is a character in the book series Lorien Legacies


TV

* Number Six ( Tricia Helfer), is a family of fictional characters from the reimagined science fiction television series, '' Battlestar Galactica'' *Number 6, the main protagonist in '' The Prisoner'' played by
Patrick McGoohan Patrick Joseph McGoohan (; March 19, 1928 – January 13, 2009) was an Irish-American actor, director, screenwriter, and producer of film and television. Born in the United States to Irish emigrant parents, he was raised in Ireland and Engla ...
, and portrayed by Jim Caviezel in the remake. *Six is a character in the television series ''
Blossom In botany, blossoms are the flowers of stone fruit trees (genus '' Prunus'') and of some other plants with a similar appearance that flower profusely for a period of time in spring. Colloquially, flowers of orange are referred to as such a ...
'' played by Jenna von Oÿ. *Six is the nickname of Kal Varrik, a central character in the television series ''
Dark Matter Dark matter is a hypothetical form of matter thought to account for approximately 85% of the matter in the universe. Dark matter is called "dark" because it does not appear to interact with the electromagnetic field, which means it does not ab ...
'', played by
Roger Cross Roger Cross (born October 19, 1969) is a Jamaican-born Canadian actor who has made numerous appearances in several films and television series, mostly on productions shot in Canada. He is known for his work as CTU Agent Curtis Manning in the ...
. *'' Six'' is a
History History (derived ) is the systematic study and the documentation of the human activity. The time period of event before the History of writing#Inventions of writing, invention of writing systems is considered prehistory. "History" is an umbr ...
channel series that chronicles the operations and daily lives of SEAL Team Six. *'' Six Feet Under'', an HBO series that ran from 2005 to 2011.


Movies

*Number 6 ( Teresa Palmer) is a character in the movie '' I Am Number Four'' (2011). *'' The 6th Day'' (2000), starring Arnold Schwarzenegger. *''
The Sixth Sense ''The Sixth Sense'' is a 1999 American psychological thriller film written and directed by M. Night Shyamalan. It stars Bruce Willis as a child psychologist whose patient ( Haley Joel Osment) claims he can see and talk to the dead. Released ...
'' (1999), written and directed by
M. Night Shyamalan Manoj Nelliyattu M. Night Shyamalan ( ; born August 6, 1970) is an Indian-American filmmaker and actor. He is best known for making original films with contemporary supernatural plots and twist endings. He was born in Mahé, India, and raise ...
and starring
Haley Joel Osment Haley Joel Osment (born April 10, 1988) is an American actor and voice actor. Beginning his career as a child actor, Osment's role in the comedy-drama film '' Forrest Gump'' (1994) won him a Young Artist Award. His breakthrough came with the ...
and
Bruce Willis Walter Bruce Willis (born March 19, 1955) is a retired American actor. He achieved fame with a leading role on the comedy-drama series '' Moonlighting'' (1985–1989) and appeared in over a hundred films, gaining recognition as an action hero ...
. *'' Girl 6'' (1996), directed by
Spike Lee Shelton Jackson "Spike" Lee (born March 20, 1957) is an American film director, producer, screenwriter, and actor. His production company, 40 Acres and a Mule Filmworks, has produced more than 35 films since 1983. He made his directorial debut ...
.


Musicals

* ''Six'' is a modern retelling of the lives of the six wives of
Henry VIII Henry VIII (28 June 149128 January 1547) was King of England from 22 April 1509 until his death in 1547. Henry is best known for his six marriages, and for his efforts to have his first marriage (to Catherine of Aragon) annulled. His disagr ...
presented as a pop concert.


Anthropology

*The name of the smallest group of
Cub Scout Cub Scouts, Cubs or Wolf Cubs are programs associated with Scouting for young children usually between 7 and 12, depending on the organization to which they belong. A participant in the program is called a Cub. A group of Cubs is called a 'P ...
s and Guiding's equivalent Brownies, traditionally consisting of six people and is led by a "sixer". *A
coffin A coffin is a funerary box used for viewing or keeping a corpse, either for burial or cremation. Sometimes referred to as a casket, any box in which the dead are buried is a coffin, and while a casket was originally regarded as a box for jewe ...
is traditionally buried six feet under the ground; thus, the phrase "six feet under" means that a person (or thing, or concept) is dead *There are said to be no more than six degrees of separation between any two people on Earth. *In Western astrology,
Virgo Virgo may refer to: * Virgo (astrology), the sixth astrological sign of the zodiac * Virgo (constellation), a constellation * Virgo Cluster, a cluster of galaxies in the constellation Virgo * Virgo Stellar Stream, remains of a dwarf galaxy *Virgo ...
is the 6th astrological sign of the Zodiac *The Six Dynasties form part of Chinese history *Six is a lucky number in Chinese culture. *The Birmingham Six were a British miscarriage of justice, held in prison for 16 years. *"Six" is used as an informal slang term for the British
Secret Intelligence Service The Secret Intelligence Service (SIS), commonly known as MI6 ( Military Intelligence, Section 6), is the foreign intelligence service of the United Kingdom, tasked mainly with the covert overseas collection and analysis of human intellige ...
, MI6.


In other fields

* Six pack is a common form of packaging for six bottles or cans of drink (especially beer), and by extension, other assemblages of six items. *In Pythagorean
numerology Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ...
(a
pseudoscience Pseudoscience consists of statements, beliefs, or practices that claim to be both scientific and factual but are incompatible with the scientific method. Pseudoscience is often characterized by contradictory, exaggerated or unfalsifiable claim ...
), the number 6 is the digit of balance, harmony and organization of the home and family *The fundamental flight instruments lumped together on a cockpit display are often called the Basic Six or six-pack. *The number of dots in a
braille Braille (Pronounced: ) is a tactile writing system used by people who are visually impaired, including people who are blind, deafblind or who have low vision. It can be read either on embossed paper or by using refreshable braille display ...
cell. **See also
Six degrees (disambiguation) Six degrees may refer to: *Six degrees of separation, the theory that anyone on earth can be connected to any other person on the planet through a chain of acquaintances that has no more than five intermediaries *Six degrees of freedom, motion in t ...
. *
Extrasensory perception Extrasensory perception or ESP, also called sixth sense, is a claimed paranormal ability pertaining to reception of information not gained through the recognized physical senses, but sensed with the mind. The term was adopted by Duke Univers ...
is sometimes called the "sixth sense". * Six Flags is an American company running amusement parks and theme parks in the U.S., Canada, and Mexico. *In the U.S. Army "Six" as part of a radio call sign is used by the commanding officer of a unit, while subordinate platoon leaders usually go by "One". (For a similar example see also: Rainbow Six.)


See also

* List of highways numbered 6


References

*''The Odd Number 6'', JA Todd, Math. Proc. Camb. Phil. Soc. 41 (1945) 66–68 *''A Property of the Number Six'', Chapter 6, P Cameron, JH v. Lint, ''Designs, Graphs, Codes and their Links'' *Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 67 - 69


External links


The Number 6The Positive Integer 6
{{DEFAULTSORT:6 (Number) Integers 6 (number)