32
32 is a power of two (2⁵), the atomic number of germanium, and the freezing point of water on the Fahrenheit scale.
- Even
- Composite
Where 32 fits
Why 32 is special
32°F marking water's freezing point (exactly 0°C) is one of the few fixed reference points shared between the Fahrenheit and Celsius scales.
Same number, different meanings
How 32 is understood across different contexts — never implying one meaning because of another.
- Mathematics
32°F marking water's freezing point (exactly 0°C) is one of the few fixed reference points shared between the Fahrenheit and Celsius scales.
- Everyday life
There are 32 pieces on a chessboard at the start of a game (worldwide, FIDE rules). Sixteen a side on 64 squares, so the board begins exactly half full. The eight-by-eight board is much older than the modern rules; the pieces changed and the grid did not.
- Science
A full adult human dentition is thirty-two teeth including four wisdom teeth, which a substantial minority never develop and many have removed. The textbook figure and the common figure therefore differ.
- Technology & computing
There are 32 bits in the address space of the original internet protocol (IPv4). That is about 4.3 billion addresses, which ran out. IPv6 uses 128 bits, enough to give every atom on the Earth's surface several.
- Sport
The men's football World Cup finals ran with 32 teams from 1998 to 2022, a number that produces a clean knockout bracket from eight groups of four. The 2026 tournament expands to 48, which does not, and required a new format to work around it.
32 is part of
Factors & digit properties
- Divisors (6)
- 1, 2, 4, 8, 16, 32
- Prime factorisation
- 2^5
- Digit sum
- 5
- Digital root
- 5
Representations
- Decimal
- 32
- Scientific notation
- 3.200 × 10^1
Roman numerals
X X X I I
Binary
1 0 0 0 0 0
1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 32
Octal
4 0
4 × 8 + 0 × 1 = 32
Hexadecimal
2 0
2 × 16 + 0 × 1 = 32
Read as powers of two: 32 = 32.
In historical numeral systems
Egyptian
3 hobbles, 2 strokes
3 × 10 + 2 × 1 = 32. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
3 corner wedges + 2 vertical wedges
32 fits in a single sexagesimal place: 3 corner wedges + 2 vertical wedges.
Greek (Ionic)
lambda, then beta, marked as a numeral
lambda-beta + keraia
lambda + beta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
lamed, then bet
lamed-bet
lamed (30) + bet (2) = 32, written in descending order.
Chinese numerals
sān shí èr
sān shí èr
三 before 十 multiplies it: 3 tens. 二 after it adds 2. The written form mirrors the arithmetic — "sān shí èr". The financial (anti-fraud) form is 參拾貳.
Maya
1 dot (upper, twenties place) over 2 bars + 2 dots (lower, units place)
1 × 20 + 12 = 32. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Happy number
- Powerful number
Related numbers & connections
16 is a factor of 32 (16 × 2 = 32).
View 16 →A full adult dentition is thirty-two teeth, a figure many people never reach because wisdom teeth are absent or removed.
32 °F is water's freezing point, one of the two fixed points that originally defined the Fahrenheit scale.
Mathematically related
Numbers Around Us
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Strength 0.50, confidence "high".
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why?
Strength 0.50, confidence "high".
Other connections
- is associated withTemperature scales
why?
Strength 0.50, confidence "high".
- is associated with352
why?
Strength 0.50, confidence "high".
- is associated with206
why?
Strength 0.50, confidence "high".
- contrasts with212
why?
Strength 0.50, confidence "high".
- is associated with754
why?
Strength 0.50, confidence "high".
Everyday life
There are 32 pieces on a chessboard at the start of a game (worldwide, FIDE rules). Sixteen a side on 64 squares, so the board begins exactly half full. The eight-by-eight board is much older than the modern rules; the pieces changed and the grid did not.
DocumentedEveryday lifeGeography: worldwide, FIDE rules32°F is the freezing point of water on the Fahrenheit scale, exactly equivalent to 0°C — one of the few fixed reference points shared between the two everyday temperature scales.
DocumentedEveryday life
Science
A full adult human dentition is thirty-two teeth including four wisdom teeth, which a substantial minority never develop and many have removed. The textbook figure and the common figure therefore differ.
DocumentedScienceGeography: GlobalPeriod: long-established32 is the atomic number of germanium. It was the semiconductor of the first transistors before silicon displaced it, and it remains important in fibre optics and infrared lenses.
DocumentedScience
Technology & computing
There are 32 bits in the address space of the original internet protocol (IPv4). That is about 4.3 billion addresses, which ran out. IPv6 uses 128 bits, enough to give every atom on the Earth's surface several.
DocumentedTechnology & computingGeography: IPv4Unix systems have traditionally counted seconds since 1970 in a signed 32-bit integer, which overflows in January 2038. It is the Y2K problem with a harder edge: much of the affected code is embedded in devices that cannot practically be updated, so the fix has to reach hardware rather than paperwork.
DocumentedTechnology & computingAn IPv4 address is 32 bits, which allows about 4.3 billion of them. That looked inexhaustible when the format was fixed in 1981 and ran out at the regional registries from 2011 onward. IPv6 uses 128 bits, an increase so large that exhaustion stops being a consideration rather than merely being deferred.
DocumentedTechnology & computing
Sport
The men's football World Cup finals ran with 32 teams from 1998 to 2022, a number that produces a clean knockout bracket from eight groups of four. The 2026 tournament expands to 48, which does not, and required a new format to work around it.
DocumentedSport
Mathematics
32 is 2⁵. As a power of two it served for decades as a standard processor and register width, addressing up to 2³² distinct memory locations — about 4.29 billion.
DocumentedMathematics
Common questions
Why does water freeze at 32 degrees Fahrenheit?
Because Fahrenheit did not build his scale around water. He fixed zero at the temperature of a salt-and-ice mixture and set human body temperature near 96; water's freezing point simply landed at 32. Celsius later put freezing at 0 and boiling at 100 by design.
Is 32 a prime number?
No, 32 is not prime.
What are the factors of 32?
The factors of 32 are 1, 2, 4, 8, 16, 32.
What is 32 in Roman numerals?
32 in Roman numerals is XXXII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 9 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026