21 (number)

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21
Cardinal twenty-one
Ordinal 21st
(twenty-first)
Factorization 3 \cdot 7
Divisor(s) 1, 3, 7, 21
Roman numeral XXI
Binary 10101
Hexadecimal 15

21 (twenty-one) is the natural number following 20 and preceding 22.

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Contents

[edit] In mathematics

Twenty-one is a Fibonacci number, a Harshad number, a Motzkin number, a triangular number and an octagonal number, as well as a composite number, its proper divisors being 1, 3 and 7.

21 is the fifth discrete bi-prime and the second in the (3.q) family. With 22 it forms the second discrete bi-prime pair. As it is a semiprime with both its prime factors being Gaussian primes, 21 is then a Blum integer.

21 has an aliquot sum of 11 though it is the second composite number found in the 11-aliquot tree with. 18 is the first such member as well having as 21 as its aliquot sum 21 is the first number to be the aliquot sum of three numbers 18, 51, 91.

21 appears in the Padovan sequence, preceded by the terms 9, 12, 16 (it is the sum of the first two of these).

The sum of divisors for the integers 1 through 5 is 21.

21 is a repdigit in base 4 (111).

21 is the smallest number of differently sized squares needed to square the square.[1]

[edit] In science

[edit] In Music

[edit] Age 21

  • In the United States (excluding insular areas), 21 is the minimum legal age at which one can purchase and drink alcoholic beverages.
  • It is also the age at which it is legal to gamble in several states and work as a prostitute. Prostitution is illegal everywhere in the US except licensed brothels in Nevada (except in Storey County and Lyon County, where the legal age is 18).
  • In most states, a person who is 21 or over may also rent a car (although there are usually extra fees until the person is 25).
  • Twenty-one was the minimum age of suffrage in the majority of states until the introduction of the Twenty-sixth Amendment.
  • It is also the minimum age at which one can purchase a handgun or rent/use one without supervision in most states.
  • Twenty-one was the age of majority in England and Wales before that age was lowered to 18 with the enactment of the Family Law Reform Act on 1 January 1970.

[edit] In sports

  • The Pittsburgh Pirates retired number 21 in 1973 in honor of Roberto Clemente, who was killed in a plane crash while delivering humanitarian aid to victims of an earthquake in Nicaragua.
  • 21 is a variation of street basketball, in which each player, of which there can be any number, plays for himself only (i.e. not part of a team); the name comes from the requisite number of baskets.
  • Captain of the 1980 U.S. men's Olympic Hockey Team Mike Eruzione wore number 21.
  • The late Washington Redskin Sean Taylor wore number 21. Fellow teammates Chris Cooley and Chris Samuels wore number 21 during the Pro Bowl in his honor.
  • Standout running back LaDainian Tomlinson wears number 21.
  • Tim Duncan wears number 21 for the San Antonio Spurs.
  • Kevin Garnett wore number 21 while playing with the Minnesota Timberwolves.
  • George Gregan, an australian rugby player wore the number 21. He was the first player to reach 100 test matches.

[edit] In other fields

21 is:

A 1918 comedy starring Bryant Washburn and Gertrude Selby
A 1923 drama starring Richard Barthelmess and Dorothy Mackaill
A 1991 drama starring Patsy Kensit
A 2008 drama starring Kevin Spacey, Laurence Fishburne, and Kate Bosworth, based on the book Bringing Down the House.

[edit] Historical years

21 A.D., 21 B.C., 1921, 2021, etc.

[edit] References

  1. ^ C. J. Bouwkamp, and A. J. W. Duijvestijn, "Catalogue of Simple Perfect Squared Squares of Orders 21 Through 25." Eindhoven University of Technology, Nov. 1992.