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15 (fifteen) is the natural number following 14 and preceding 16.


Mathematics

15 is: * A composite number, and the sixth semiprime; its proper divisors being , and . * A deficient number, a smooth number, a lucky number, a
pernicious number In number theory, a pernicious number is a positive integer such that the Hamming weight of its binary representation is prime, that is, there is a prime number of 1's when it is written as a binary number. Examples The first pernicious number is ...
, a bell number (i.e., the number of partitions for a set of size 4), a pentatope number, and a repdigit in binary (1111) and
quaternary The Quaternary ( ) is the current and most recent of the three periods of the Cenozoic Era in the geologic time scale of the International Commission on Stratigraphy (ICS). It follows the Neogene Period and spans from 2.58 million years ...
(33). In
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, hexa ...
, and higher bases, it is represented as F. * A triangular number, a hexagonal number, and a
centered tetrahedral number A centered tetrahedral number is a centered figurate number that represents a tetrahedron In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, ...
. * The number of partitions of 7. * The smallest number that can be factorized using Shor's quantum algorithm. * The
magic constant The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For a normal magic square of order ''n'' – that is ...
of the unique order-3 normal magic square. * The number of supersingular primes. Furthermore, * 15 is one of two numbers within the ''teen'' numerical range (13-19) not to use a single-digit number in the prefix of its name (the first syllable preceding the ''teen'' suffix); instead, it uses the adjective form of five (''fif''th) as the prefix. The other such number is 13. *The first 15
superabundant number In mathematics, a superabundant number (sometimes abbreviated as SA) is a certain kind of natural number. A natural number ''n'' is called superabundant precisely when, for all ''m'' < ''n'' :\frac 6/5. Superabundant numbers were defined by . ...
s are the same as the first 15
colossally abundant number In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number ''n'' is said to be colossally abundant if there is an ε > 0 su ...
s. * 15 contains the decimal digits 1 and 5, and is the result of adding together the integers from 1 to 5 (1 + 2 + 3 + 4 + 5 = 15). The only other number with this property is 27. * There are 15
truncatable prime In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed, then all resulting numbers are prime. For example, 9137, since 9137, 137, 37 and 7 are ...
s which are both right-truncatable and left-truncatable: :2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739397 * There are 15 perfect matchings of the complete graph ''K''6 and 15 rooted binary trees with four labeled leaves, both of these being among the types of objects counted by
double factorial In mathematics, the double factorial or semifactorial of a number , denoted by , is the product of all the integers from 1 up to that have the same parity (odd or even) as . That is, :n!! = \prod_^ (n-2k) = n (n-2) (n-4) \cdots. For even , the ...
s. * With only two exceptions, all prime quadruplets enclose a multiple of 15, with 15 itself being enclosed by the quadruplet (11, 13, 17, 19). * If a positive definite quadratic form with integer matrix represents all positive integers up to 15, then it represents all positive integers via the
15 and 290 theorems In mathematics, the 15 theorem or Conway–Schneeberger Fifteen Theorem, proved by John H. Conway and W. A. Schneeberger in 1993, states that if a positive definite quadratic form with integer matrix represents all positive integers up to 15, th ...
. * 15 is the product of distinct Fermat primes, 3 and 5; hence a regular pentadecagon is constructible with compass and unmarked straightedge, and
cos Cos, COS, CoS, coS or Cos. may refer to: Mathematics, science and technology * Carbonyl sulfide * Class of service (CoS or COS), a network header field defined by the IEEE 802.1p task group * Class of service (COS), a parameter in telephone sys ...
is expressible in terms of square roots. * There are 15 monohedral convex pentagonal tilings, with 8 being edge-to-edge. * There are 15 regular and semiregular tilings when infinite (improper) apeirogonal forms are counted: 3 are regular (with one self-dual), 8 are semiregular (with one chiral), and 4 are apeirogonal (from a total of 8, in-which 4 are duplicates). * Full icosahedral symmetry contains 15 mirror planes (2-fold axes). Specifically, the symmetry order for both the regular icosahedron and regular dodecahedron (which is made of regular pentagons) is 120: equal to sum of the first 15 integers, and the
factorial In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \t ...
of 5, wherein the sum of the first 5 integers itself is 15. Expressed mathematically: *: \sum_^i = 120 , while \sum_^i = 15 , and 5! = 120. * There are 15 Archimedean solids and 15 Catalan solids when enantiomorphic forms are counted separately. * There are 15 regular honeycombs in hyperbolic
3-space 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 informa ...
: 4 are compact and 11 are paracompact.


Science

* The atomic number of phosphorus. * Group 15 of the
periodic table The periodic table, also known as the periodic table of the (chemical) elements, is a rows and columns arrangement of the chemical elements. It is widely used in chemistry, physics, and other sciences, and is generally seen as an icon of ch ...
are sometimes known as the pnictogens. *
15 Eunomia Eunomia (minor planet designation 15 Eunomia) is a very large asteroid in the inner asteroid belt. It is the largest of the stony ( S-type) asteroids, with 3 Juno as a close second. It is quite a massive asteroid, in 6th to 8th place (to withi ...
is the largest Eunomian asteroid in the inner asteroid belt.


Religion


Sunnism

The Hanbali Sunni madhab states that the age of fifteen of a solar or lunar calendar is when one's taklif (obligation or responsibility) begins and is the stage whereby one has his deeds recorded.


Judaism

* In the Hebrew numbering system, the number 15 is not written according to the usual method, with the letters that represent "10" and "5" (י-ה, '' yodh'' and '' heh''), because those spell out one of the Jewish names of God. Instead, the date is written with the letters representing "9" and "6" (ט-ו, '' teth'' and '' vav'') * Passover begins on the 15th day of the Hebrew month of
Nisan Nisan (or Nissan; he, נִיסָן, Standard ''Nīsan'', Tiberian ''Nīsān''; from akk, 𒊬𒊒𒄀 ''Nisanu'') in the Babylonian and Hebrew calendars is the month of the barley ripening and first month of spring. The name of the month is ...
*
Sukkot or ("Booths, Tabernacles") , observedby = Jews, Samaritans, a few Protestant denominations, Messianic Jews, Semitic Neopagans , type = Jewish, Samaritan , begins = 15th day of Tishrei , ends = 21st day of Tishre ...
begins on the 15th day of the Hebrew month of Tishrei * Tu Bishvat is a Jewish holiday occurring on the 15th of the Hebrew month of Shevat


Modern use

15 is designated as an emergency number in Pakistan, for mobile phones, similar to the international GSM emergency number 112; if 112 is used in Pakistan, then the call is routed to 15. 112 can be used in an emergency even if the phone is locked and does not have a SIM card in it.


Sports

* In all four of the major
Gaelic games Gaelic games ( ga, Cluichí Gaelacha) are a set of sports played worldwide, though they are particularly popular in Ireland, where they originated. They include Gaelic football, hurling, Gaelic handball and rounders. Football and hurling, the ...
hurling Hurling ( ga, iománaíocht, ') is an outdoor team game of ancient Gaelic Irish origin, played by men. One of Ireland's native Gaelic games, it shares a number of features with Gaelic football, such as the field and goals, the number of p ...
, Gaelic football for men and women, and
camogie Camogie ( ; ga, camógaíocht ) is an Irish stick-and-ball team sport played by women. Camogie is played by 100,000 women in Ireland and worldwide, largely among Irish communities. A variant of the game of hurling (which is played by men onl ...
—each team has 15 players on the field at any given time. * In both major forms of
gridiron football Gridiron football,"Gridiron football"
''Encyclopædia Britannica''. Ret ...
(
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
and Canadian), standard games are played in 15-minute quarters. * In rugby union: ** Each team has 15 players on the field at any given time, unless one or more players are removed for a serious rules infraction. ** The jersey number 15 is worn by the starting fullback. * In tennis, the number 15 represents the first point gained in a game. * In NCAA Division I women's college basketball, teams are allowed to provide scholarships to no more than 15 players at any given time. * In
Australian rules football Australian football, also called Australian rules football or Aussie rules, or more simply football or footy, is a contact sport played between two teams of 18 players on an oval field, often a modified cricket ground. Points are scored by k ...
, games in the AFL Women's league consist of 15-minute quarters. * The maximum number of players on an
NBA The National Basketball Association (NBA) is a professional basketball league in North America. The league is composed of 30 teams (29 in the United States and 1 in Canada) and is one of the major professional sports leagues in the United St ...
team roster.


Age 15

* The age of a
quinceañera A (also , , , and ) is a celebration of a girl's 15th birthday. It has pre-Columbian roots in Mexico (Aztecs) and is widely celebrated by girls throughout Latin America. The girl celebrating her 15th birthday is a (; gender (linguistics), ...
, a Latina girl celebrating her 15th birthday. Thus, Spanish bingo callers might refer to the number 15 as ''la niña bonita'' (the beautiful girl). * The age for obtaining a driver's (or learner's) permit in certain jurisdictions, including some, where the legal age for a driver's license is 16. * The minimum age for driving a moped in some countries. * The
age of criminal responsibility The age of criminal responsibility is the age below which a child is deemed incapable of having committed a criminal offence. In legal terms, it is referred to as a defence/defense of infancy, which is a form of defense known as an excuse so tha ...
in various countries. * In the UK, a
minor Minor may refer to: * Minor (law), a person under the age of certain legal activities. ** A person who has not reached the age of majority * Academic minor, a secondary field of study in undergraduate education Music theory *Minor chord ** Barb ...
can be sent to prison to await trial at the age of 15. * In some countries, it is the legal age for sexual consent.Worldwide Ages of Consent
Avert.org. Retrieved on 2011-11-01. * In the UK, it is the legal age to watch a BBFC "15" rated film in a cinema or purchase a "15" rated film or video game. * The drinking age in Ethiopia. * The age of majority in Indonesia,
Myanmar Myanmar, ; UK pronunciations: US pronunciations incl. . Note: Wikipedia's IPA conventions require indicating /r/ even in British English although only some British English speakers pronounce r at the end of syllables. As John C. Wells, Joh ...
, Iran and Yemen.


Music

* " Fifteen" is a song composed by Taylor Swift on her album ''Fearless''


In other fields

Fifteen is: * The
15 puzzle The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and many others) is a sliding puzzle having 15 square tiles numbered 1–15 in a frame that is 4 tiles high and 4 tiles wide, leaving one unoccupied tile position ...
. * The number of minutes in one quarter of an hour; 15 minutes past or before an hour is often known as ''quarter past'' and ''quarter to'', respectively.


See also

*
List of highways numbered 15 Route 15, or Highway 15, can refer to: For roads named A15, see A15 roads. International * Asian Highway 15 * European route E15 * European route E015 Australia New South Wales * Hunter Expressway * New England Highway and other local Newcas ...


References


Further reading

* Wells, D. '' The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 91–93


External links

* – discussing hexadecimals * – discussing the Celtic number as used in Lincolnshire {{Integers, zero Integers