15 (NUMBER)

'15' ('fifteen') is the natural number following 14 and preceding 16. In English, it is the smallest integer with seven letters in its spelled out name.

Cardinal	15 fifteen
Ordinal	15th fifteenth
Numeral system	quindecimal
Factorization	$3cdot5$
Divisors	1, 3, 5, 15
Roman numeral	XV
Roman numeral (Unicode)	XV, xv
Binary	1111
Octal	17
Duodecimal	13
Hexadecimal	F
Hebrew	ט"ו (Tet Vav)

Contents

In mathematics

In science

In religion

In Sports

The age 15

In other fields

Historical years

References

In mathematics

Fifteen is a triangular number and a hexagonal number, a pentatope number, and the 4th Bell number. Fifteen is the double factorial of 5. It is a composite number; its proper divisors being , and . With only two exceptions, all prime quadruplets enclose a multiple of 15, with 15 itself being enclosed by the quadruplet (11, 13, 17, 19). 15 is also the number of supersingular primes.
15 is the 4th discrete biprime (3.5) and the first member of the (3.q) discrete biprime family. The number proceeding 15; 14 is itself a discrete biprime and this is the first such pair of discrete biprimes. The next example is the pair commencing 21.
The aliquot sum of 15 is 9, a square prime 15 has an aliquot sequence of 6 members (15,9,4,3,1,0).
15 is the 4th composite number in the 3-aliquot tree. The abundant 12 is also a member of this tree.
15 and 16 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
Fifteen is the magic constant of the unique order-3 normal magic square:

MagicSquare-Order3.png

15 is the smallest number that can be factorized using Shor's quantum algorithm.
There are 15 solutions to Znám's problem of length 7.
15 is a repdigit in binary (1111). In hexadecimal, as well as all higher bases, fifteen is represented as F.

In science

★ The atomic number of phosphorus.

In religion

★ There were 15 steps between the ''Ezrat Nashim'' and the Courtyard of the Temple in Jerusalem, on which the Levites stood and sang during the offering of sacrifices. Fifteen Psalms (Chapters 120-134), collectively known as the "Songs of Ascent", correspond to the 15 steps on which the Levites stood.

★ 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

★ Sukkot 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

★ Shushan Purim (the day on which Purim is celebrated in Jerusalem and a few other cities in Israel) occurs on the 15th day of the Hebrew month of Adar

★ Tu B'Av is a minor Jewish holiday occurring on the 15th day of the Hebrew month of Av

In Sports

★ In tennis, the number 15 represents the first point gained in a game.

★ In Rugby Union the full back wears the number 15, it is also the number of players on the field.

★ Baseball player Frank Duffy, shortstop, wore uniform number 15 for the Cincinnati Reds (1970-71) and Cleveland Indians (1972-77).

★ Basketball player Carmelo Anthony wears number 15 for the Denver Nuggets and for Team USA Basketball.

★ Baseball catcher Thurman Munson, who died in a crash landing back in 1979.

★ Basketball player Vince Carter wears number 15 for the New Jersey Nets.

The age 15

'Age 15' is:

★ The age of a quinceañera, a Hispanic girl celebrating her fifteenth 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 age for a driver's license is sixteen.

★ In the UK a minor can be sent to prison to await trial at the age of 15

In other fields

'Fifteen' is:

★ The number of days in each of the 24 cycles of the Chinese calendar.

★ The number of guns in a gun salute to Army, Marine Corps, and Air Force Lieutenant Generals, and Navy and Coast Guard Vice Admirals.

★ The designation of Interstate 15, a freeway that runs from California to Montana.

★ The number of players on a rugby union team.

★
★ In rugby union the full back wears the 15 shirt.

★ The '15 refers to the first Jacobite Rising in Great Britain in 1715.

★ The number of checkers each side has in the beginning of a backgammon game.

★ The 15 puzzle.

★ ''Fifteen'', a television program.

★ A restaurant in London, built by celebrity chef Jamie Oliver

★ In the United States, the customary percentage to tip a waitress in a restaurant by one or two guests

★ 15 minutes of fame

★ The number of balls in the eight ball variant of billiards

★ "Fifteen men on a dead man's chest"

★ The number of function keys on most Mac keyboards

★ The name of a modern punk band, Fifteen (band), with lead singer Jeff Ott.

★ The number of letters in the words "uncopyrightable" and "dermatoglyphics", which are the longest words there are without repeating a letter.

★ One of the "Lost Numbers" on the television show ''Lost'', along with 4, 8, 16, 23, and 42.

★ The number of completed, numbered symphonies and string quartets by Dmitri Shostakovich

★ A film rating and age limit on viewing given by the British Board of Film Classification

★ The number of The Devil in the major arcana of Tarot cards.

★ The number to dial for SAMU in case of an emergency in France.

★ 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.

★ ''Fifteen men on the dead man's chest'' is the first verse of the chorus of a fictional sea shanty from Robert Louis Stevenson's novel ''Treasure Island'' (1883),

Historical years

'15 A.D.', 15 B.C., 1915, 2015, etc.

References

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