25 (number)

25 (twenty-five) is the natural number following 24 and preceding 26.

24 25 26
Cardinaltwenty-five
Ordinal25th
(twenty-fifth)
Factorization52
Divisors1, 5, 25
Greek numeralΚΕ´
Roman numeralXXV
Binary110012
Ternary2213
Senary416
Octal318
Duodecimal2112
Hexadecimal1916

In mathematics

25 is a square.

It is a square number, being 52 = 5 × 5, and hence the third non-unitary square prime of the form p2.

It is one of two two-digit numbers whose square and higher powers of the number also ends in the same last two digits, e.g., 252 = 625; the other is 76.

Twenty five has an even aliquot sum of 6, which is itself the first even and perfect number root of an aliquot sequence; not ending in (1 and 0).

It is the smallest square that is also a sum of two (non-zero) squares: 25 = 32 + 42. Hence, it often appears in illustrations of the Pythagorean theorem.

25 is the sum of the five consecutive single-digit odd natural numbers 1, 3, 5, 7, and 9.

25 is a centered octagonal number,[1] a centered square number,[2] a centered octahedral number,[3] and an automorphic number.[4]

25 percent (%) is equal to 1/4.

It is the smallest decimal Friedman number as it can be expressed by its own digits: 52.[5]

It is also a Cullen number[6] and a vertically symmetrical number.[7] 25 is the smallest pseudoprime satisfying the congruence 7n = 7 mod n.

25 is the smallest aspiring number a composite non-sociable number whose aliquot sequence does not terminate.[8]

According to the Shapiro inequality, 25 is the smallest odd integer n such that there exist x1, x2, ..., xn such that

where xn + 1 = x1, xn + 2 = x2.

Within decimal, one can readily test for divisibility by 25 by seeing if the last two digits of the number match 00, 25, 50, or 75.

There are 25 primes under 100.

In science

In religion

  • In Ezekiel's vision of a new temple: The number twenty-five is of cardinal importance in Ezekiel's Temple Vision (in the Bible, Ezekiel chapters 40–48).
  • In Islam, there are 25 prophets mentioned in the Quran.

In sports

  • Before 2020, the size of the full roster on a Major League Baseball team for most of the season, except for regular-season games on or after September 1, when teams expanded their roster to 40 players.
  • The size of the playing roster on a Nippon Professional Baseball team for a particular game. Active NPB rosters consist of 28 players, but prior to each game, managers must designate three players who will be ineligible for that game.
  • In baseball, the number 25 is typically reserved for the best slugger on the team. Examples include Mark McGwire, Barry Bonds, Jim Thome, and Mark Teixeira.
  • The number of points needed to win a set in volleyball under rally scoring rules (except for the fifth set), so long as the losing team's score is two less than the winning team's score (i.e., if the winning team scores 25 points, the losing team can have no more than 23 points)
  • In U.S. college football, schools that are members of NCAA Division I FBS are allowed to provide athletic scholarships to a maximum of 25 new football players (i.e., players who were not previously receiving scholarships) each season.

In other fields

Twenty-five is:

Slang names

  • Pony (British slang for £25)[11]

See also

References

  1. "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  3. Sloane, N. J. A. (ed.). "Sequence A001845 (Centered octahedral numbers (crystal ball sequence for cubic lattice))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  4. "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  5. "Sloane's A036057 : Friedman numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  6. "Sloane's A002064 : Cullen numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  7. "Sloane's A053701 : Vertically symmetric numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-08.
  8. "Sloane's A063769 : Aspiring numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  9. Meija, Juris; Coplen, Tyler B.; et al. (March 1, 2016). "Atomic weights of the elements 2013 (IUPAC Technical Report)". Pure and Applied Chemistry. 88 (3): 265–291. doi:10.1515/pac-2015-0305. ISSN 0033-4545. S2CID 101719914.
  10. "Understanding Genetics". genetics.thetech.org. Retrieved 2 April 2018.
  11. Evans, I.H., Brewer's Dictionary of Phrase and Fable, 14th ed., Cassell, 1990, ISBN 0-304-34004-9
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