32 (number)

32 (thirty-two) is the natural number following 31 and preceding 33.

31 32 33
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Cardinalthirty-two
Ordinal32nd
(thirty-second)
Factorization25
Divisors1, 2, 4, 8, 16, 32
Greek numeralΛΒ´
Roman numeralXXXII
Binary1000002
Ternary10123
Octal408
Duodecimal2812
Hexadecimal2016

In mathematics

32 is the smallest number n with exactly 7 solutions to the equation φ(x) = n. It is also the sum of the totient function for the first ten integers.

The fifth power of two, 32 is also a Leyland number since 24 + 42 = 32.[1]

32 is the ninth happy number.[2]

32 = 11 + 22 + 33

In science

Astronomy

In music

In religion

In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom. This is, in turn, derived from the 32 times of the Hebrew names for God, Elohim appears in the first chapter of Genesis.

One of the central texts of the Pāli Canon in the Theravada Buddhist tradition, the Digha Nikaya, describes the appearance of the historical Buddha with a list of 32 physical characteristics.

The Hindu scripture Mudgala Purana also describes Ganesha as taking 32 forms.

In sports

  • In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.
  • The number of teams in the National Football League.
  • In association football:
    • The FIFA World Cup final tournament has featured 32 men's national teams from 1998 through 2022, after which the field will expand to 48.
    • The FIFA Women's World Cup final tournament will feature 32 national teams starting with the next edition in 2023.
    • The ball used in association football is most often made with 32 panels of leather or synthetic material.

In other fields

Thirty-two could also refer to:

  • The number of teeth of a full set of teeth in an adult human, including wisdom teeth
  • The size of a databus in bits: 32-bit
  • The size, in bits, of certain integer data types, used in computer representations of numbers
  • IPv4 uses 32-bit (4-byte) addresses
  • ASCII and Unicode code point for space
  • The code for international direct dial phone calls to Belgium
  • In the title Thirty-Two Short Films About Glenn Gould, starring Colm Feore
  • Article 32 of the UCMJ concerns pre-trial investigations. Such a hearing is often called an "article 32 hearing"
  • Sometimes considered to be the occult opposite of number 23
  • The caliber .32 ACP
  • The number of pages in the average comic book (not including the cover)
  • The number of the French department Gers
  • The traditional 32 counties of Ireland

References

  1. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
  2. "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
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