26 (twenty-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 n ...

following 25 and preceding 27.

In mathematics

*26 is the only

integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...

that is one greater than a square (5 + 1) and one less than a cube (3 − 1). *26 is a

telephone number A telephone number is a sequence of digits assigned to a landline telephone subscriber station connected to a telephone line or to a wireless electronic telephony device, such as a radio telephone or a mobile telephone, or to other devices f ...

, specifically, the number of ways of connecting 5 points with pairwise connections. *There are 26

sporadic group In mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. A simple group is a group ''G'' that does not have any normal subgroups except for the trivial group and ''G'' itself. The ...

s. *The 26-dimensional Lorentzian

unimodular lattice In geometry and mathematical group theory, a unimodular lattice is an integral lattice of determinant 1 or −1. For a lattice in ''n''-dimensional Euclidean space, this is equivalent to requiring that the volume of any fundamen ...

II_25,1 plays a significant role in

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 packing p ...

problems and the

classification of finite simple groups In mathematics, the classification of the finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating, or it belongs to a broad infinite class called the groups of Lie type, or else it ...

. In particular, the

Leech lattice In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing number problem. It was discovered by . It may also have been discovered (but not published) by ...

is obtained in a simple way as a subquotient. *26 is the smallest number that is both a

nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotient ...

and a

noncototient In mathematics, a noncototient is a positive integer ''n'' that cannot be expressed as the difference between a positive integer ''m'' and the number of coprime integers below it. That is, ''m'' − φ(''m'') = ''n'', where � ...

number. *There are 26 faces of a

rhombicuboctahedron In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is a polyhedron with eight triangular, six square, and twelve rectangular faces. There are 24 identical vertices, with one triangle, one square, and two rectangles meeting at ea ...

. *When a 3 × 3 × 3 cube is made of 27 unit cubes, 26 of them are viewable as the exterior layer. Also a 26 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 toge ...

is called an

icosihexagon 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 tog ...

. *φ(26) = φ(σ(26)).

Properties of its positional representation in certain radixes

Twenty-six is a

repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit. Example ...

in base

three 3 is a number, numeral, and glyph. 3, three, or III may also refer to: * AD 3, the third year of the AD era * 3 BC, the third year before the AD era * March, the third month Books * '' Three of Them'' (Russian: ', literally, "three"), a 1901 ...

(222₃) and in base 12 (22₁₂). In

base ten The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...

, 26 is the smallest number that is not a

palindrome A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Panam ...

to have a

square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adj ...

(26² =

676 __NOTOC__ Year 676 ( DCLXXVI) was a leap year starting on Tuesday (link will display the full calendar) of the Julian calendar. The denomination 676 for this year has been used since the early medieval period, when the Anno Domini calendar era ...

) that is a palindrome.

In science

*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 ...

iron Iron () is a chemical element with symbol Fe (from la, ferrum) and atomic number 26. It is a metal that belongs to the first transition series and group 8 of the periodic table. It is, by mass, the most common element on Earth, right in f ...

. *The number of

spacetime In physics, spacetime is a mathematical model that combines the three dimensions of space and one dimension of time into a single four-dimensional manifold. Spacetime diagrams can be used to visualize relativistic effects, such as why differen ...

dimension In physics and mathematics, the dimension of a Space (mathematics), mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any Point (geometry), point within it. Thus, a Line (geometry), lin ...

s in

bosonic string theory Bosonic string theory is the original version of string theory, developed in the late 1960s and named after Satyendra Nath Bose. It is so called because it contains only bosons in the spectrum. In the 1980s, supersymmetry was discovered in the c ...

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 int ...

M26, a

magnitude Magnitude may refer to: Mathematics *Euclidean vector, a quantity defined by both its magnitude and its direction *Magnitude (mathematics), the relative size of an object *Norm (mathematics), a term for the size or length of a vector *Order of ...

9.5

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 A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The origins of the e ...

Scutum The ''scutum'' (; plural ''scuta'') was a type of shield used among Italic peoples in antiquity, most notably by the army of ancient Rome starting about the fourth century BC. The Romans adopted it when they switched from the military formati ...

. *The

New General Catalogue The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...

br>object
NGC 26, a

spiral galaxy Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work ''The Realm of the Nebulae''Pegasus Pegasus ( grc-gre, Πήγασος, Pḗgasos; la, Pegasus, Pegasos) is one of the best known creatures in Greek mythology. He is a winged divine stallion usually depicted as pure white in color. He was sired by Poseidon, in his role as hor ...

In religion

* 26 is the gematric number, being the sum of the Hebrew characters ( he, יהוה) being the name of the god of Israel –

YHWH The Tetragrammaton (; ), or Tetragram, is the four-letter Hebrew theonym (transliterated as YHWH), the name of God in the Hebrew Bible. The four letters, written and read from right to left (in Hebrew), are ''yodh'', '' he'', ''waw'', and '' ...

(''Yahweh''). * GOD=26=G7+O15+D4 in ''Simple6,74 English7,74 Gematria8,74'' ('The Key': A=1, B2, C3, ..., Z26). * The Greek Strongs number G26 is "''Agape''", which means "''Love''". * The expression "''For His mercy endures forever''" is found verbatim in English and the original Hebrew 26 times in

Psalm 136 Psalm 136 is the 136th psalm of the Book of Psalms, beginning in English in the King James Version: "O give thanks unto the LORD; for he is good: for his mercy endureth for ever. ". The Book of Psalms is part of the third section of the Hebrew Bi ...

. The expression is found once in each of the 26 verses. * According to Jewish

chronology Chronology (from Latin ''chronologia'', from Ancient Greek , ''chrónos'', "time"; and , '' -logia'') is the science of arranging events in their order of occurrence in time. Consider, for example, the use of a timeline or sequence of events. I ...

God In monotheism, monotheistic thought, God is usually viewed as the supreme being, creator deity, creator, and principal object of Faith#Religious views, faith.Richard Swinburne, Swinburne, R.G. "God" in Ted Honderich, Honderich, Ted. (ed)''The Ox ...

gave the

Torah The Torah (; hbo, ''Tōrā'', "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. In that sense, Torah means the s ...

in the 26th generation since

Creation Creation may refer to: Religion *''Creatio ex nihilo'', the concept that matter was created by God out of nothing * Creation myth, a religious story of the origin of the world and how people first came to inhabit it * Creationism, the belief tha ...

In sports

* The number of complete miles in a

marathon The marathon is a long-distance foot race with a distance of , usually run as a road race, but the distance can be covered on trail routes. The marathon can be completed by running or with a run/walk strategy. There are also wheelchair div ...

(26 miles and 385 yards). * Effective in 2020, the size of the full roster on a

Major League Baseball Major League Baseball (MLB) is a professional baseball organization and the oldest major professional sports league in the world. MLB is composed of 30 total teams, divided equally between the National League (NL) and the American League (AL), ...

team, except for regular-season games on or after September 1, when teams expand their rosters to 28 players. * The number of holes in a

floorball Floorball is a type of floor hockey with five players and a goalkeeper in each team. Men and women play indoors with sticks and a plastic ball with holes. Matches are played in three twenty-minute periods. The sport of bandy also played a role ...

ball. * The maximum capacity of cars allowed to compete in an official

Formula One Formula One (also known as Formula 1 or F1) is the highest class of international racing for open-wheel single-seater formula racing cars sanctioned by the Fédération Internationale de l'Automobile (FIA). The World Drivers' Championship, ...

Grand Prix race.

In other fields

Twenty-six is: * A 2003 novel by Leo McKay, Jr. The title refers to the number of miners killed in the

Westray Mine The Westray Mine was a Canadian coal mine in Plymouth Plymouth () is a port city status in the United Kingdom, city and unitary authority in South West England. It is located on the south coast of Devon, approximately south-west of Exeter ...

explosion. 26 is: *The sixth track of ''

After Laughter ''After Laughter'' is the fifth studio album by American rock band Paramore. It was released on May 12, 2017, through Fueled by Ramen, as a follow-up to their self-titled album ''Paramore'' (2013). The album was produced by guitarist Taylor Yor ...

'', the fifth studio album by American alternative band

Paramore Paramore is an American rock band from Franklin, Tennessee, formed in 2004. The band currently consists of lead vocalist Hayley Williams, guitarist Taylor York and drummer Zac Farro. Williams and Farro are founding members of the group, whil ...

. *The eighth track of ''

The Balcony ''The Balcony'' (french: Le Balcon) is a play by the French dramatist Jean Genet. It is set in an unnamed city that is experiencing a revolutionary uprising in the streets; most of the action takes place in an upmarket brothel that functions as a ...

'', the first studio album by British modern rock band

Catfish and the Bottlemen Catfish and the Bottlemen are a British indie rock band from Wales. The band's debut album, ''The Balcony'', reached number 10 in the UK Albums Chart and achieved Platinum status on 30 December 2016. The band have toured in South America, Jap ...

. *In Microsoft Windows list of Alt Codes, the combination + yields the "right arrow" symbol →. *The number of the last letter of the English alphabet, Z. *The name of the Australian

alternative rock Alternative rock, or alt-rock, is a category of rock music that emerged from the independent music underground of the 1970s and became widely popular in the 1990s. "Alternative" refers to the genre's distinction from Popular culture, mainstre ...

band, 26. *The number of

letters Letter, letters, or literature may refer to: Characters typeface * Letter (alphabet), a character representing one or more of the sounds used in speech; any of the symbols of an alphabet. * Letterform, the graphic form of a letter of the alphabe ...

in the basic

Latin alphabet The Latin alphabet or Roman alphabet is the collection of letters originally used by the ancient Romans to write the Latin language. Largely unaltered with the exception of extensions (such as diacritics), it used to write English and the o ...

, if

capital letters Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing ...

are not distinguished from lowercase letters. *The total number of cases on most versions of ''

Deal or No Deal ''Deal or No Deal'' is the name of several closely related television game shows, the first of which (launching the format) was the Dutch ''Miljoenenjacht (Netherlands), Miljoenenjacht'' (''Hunt/Chase for Millions''). The centerpiece of this f ...

''. *Often (in the United States) the number of

episode An episode is a narrative unit within a larger dramatic work or documentary production, such as a series intended for radio, television or streaming consumption. The noun ''episode'' is derived from the Greek term ''epeisodion'' (), meaning t ...

s in a

television program Television, sometimes shortened to TV, is a telecommunication medium for transmitting moving images and sound. The term can refer to a television set, or the medium of television transmission. Television is a mass medium for advertising, e ...

each year; this allows one new show per week for half the year, and one rerun per week for the rest of the year. *The

alias Alias may refer to: * Pseudonym * Pen name * Nickname Arts and entertainment Film and television * ''Alias'' (2013 film), a 2013 Canadian documentary film * ''Alias'' (TV series), an American action thriller series 2001–2006 * ''Alias the ...

of punk rock singer

Doc Corbin Dart Doc Corbin Dart (born March 16, 1953) is an American musician and former vocalist of the 1980s Lansing, Michigan punk rock band the Crucifucks. As of the early 2000s, he is also known by his moniker 26. Dart's unorthodox vocal stylings have ...

. *The age at which males could no longer be drafted in the United States. *A

dice Dice (singular die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing g ...

game popular in the

Midwest The Midwestern United States, also referred to as the Midwest or the American Midwest, is one of four Census Bureau Region, census regions of the United States Census Bureau (also known as "Region 2"). It occupies the northern central part of ...

United States from the 1930s to 1950s; players had to roll a chosen number 26 times or more, exactly 13 or fewer than 10. *In a normal deck of cards, there are 26 red cards and 26 black cards. *The number of

Cantons of Switzerland The 26 cantons of Switzerland (german: Kanton; french: canton ; it, cantone; Sursilvan and Surmiran: ; Vallader and Puter: ; Sutsilvan: ; Rumantsch Grischun: ) are the member states of the Swiss Confederation. The nucleus of the Swiss Con ...

. *The number of bones in the normal human foot and ankle. * XXVI Holdings, Inc, named after the Roman numerals for the number 26, is a holding company that is part of Alphabet, Inc., the structure that ultimately owns

Google Google LLC () is an American multinational technology company focusing on search engine technology, online advertising, cloud computing, computer software, quantum computing, e-commerce, artificial intelligence, and consumer electronics. ...

. *The number of counties in the

Republic of Ireland Ireland ( ga, Éire ), also known as the Republic of Ireland (), is a country in north-western Europe consisting of 26 of the 32 counties of the island of Ireland. The capital and largest city is Dublin, on the eastern side of the island. A ...

References

External links

Prime Curios! 26
from the

Prime Pages The PrimePages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin. The site maintains the list of the "5,000 largest known primes", selected smaller primes of special forms, and many "top twenty" ...

{{DEFAULTSORT:26 (Number) Integers