32 (number)

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

Template:Numbers 30s
Cardinal	32 thirty-two
Ordinal	32nd thirty-second
Factorization	${\displaystyle 2^{5}\,\!}$
Divisors	1, 2, 4, 8, 16, 32
Roman numeral	XXXII
Binary	100000
Hexadecimal	20

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.

As with all power of two 32 has an aliquot sum one less than itself; the prime 31. 32 is the first member of the 31-aliquot tree.

Judaism

In Kabbalah there is 32 Kabbalistic Paths of Wisdom

In science

• The atomic number of germanium
• The freezing point of water at sea level in degrees Fahrenheit

Astronomy

• Messier object M32, a magnitude 10.0 galaxy in the constellation Andromeda which is a companion to M31.

• The New General Catalogue object NGC 32, a star in the constellation Pegasus

• The Saros number of the solar eclipse series which began on September 24 1957 BC and ended on March 10 460 BC. The duration of Saros series 32 was 1496.5 years, and it contained 84 solar eclipses.

• The Saros number of the lunar eclipse series which began on June 11 1691 BC and ended on August 9 375 BC. The duration of Saros series 32 was 1316.2 years, and it contained 74 lunar eclipses.

In music

• The number of variations in Bach's Goldberg variations
• The number of completed, numbered piano sonatas by Ludwig van Beethoven
• In the title and lyrics of the song 32 Footsteps by They Might Be Giants
• In Regina Spektor's Oedipus, it's sung "32 is still a god damn number" several times.

In other fields

Thirty-two is also:

• 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
• The winning car number of Ray Harroun in the inaugural Indianapolis 500 in 1911
• ASCII and Unicode code point for space
• 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 code for international direct dial phone calls to Belgium
• Retired number of L.A. Lakers Magic Johnson's jersey
• Retired number of baseball pitchers Sandy Koufax and Steve Carlton
• Retired number of Jim Brown, Cleveland Browns running back
• O.J. Simpson's uniform number
• 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 (see 23 (numerology))
• The (supposed) age of Jesus Christ when he was crucified
• One of the Nissan Skyline versions
• Pump water up an open tube and it can be raised to 32 feet - at that point cohesion is lost and the water column will break or cavitate. Pumping may not be necessary under the sole action of capillary action
• According to the U.S. Census Bureau of places in the United States with the word "eagle" in their name.
• Carlos Alberto Tevez uniform number in West Ham United
• The short form of ThirtyTwo, a producer of snowboard footwear
• The number of national teams that have participated in each FIFA World Cup finals tournament since 1998.
• A traditional (soccer) football is made up by 32 panels of leather.

Historical years

32 AD, 32 B.C., 1932, 2032, etc.

Reference

• Prime Curios! 32 from the Prime Pages