Number reference
32 explained.
32: thirty-two, composite, power of two; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- thirty-two
- Classification
- composite
- Factors
- 1, 2, 4, 8, 16, 32
- Prime factorization
- 2 × 2 × 2 × 2 × 2
- Square root
- 5.656854
- Cube root
- 3.174802
- Binary
- 100000
- Octal
- 40
- Hexadecimal
- 20
- Roman numeral
- XXXII
- Digit sum
- 5
- Digital root
- 5
What makes 32 notable
- Power of two. 32 = 2^5, which is why it shows up in memory sizes, image dimensions, and anything that repeatedly halves or doubles.
32 in everyday use
Water freezes at 32 degrees Fahrenheit, a scale point every American learns. Thirty-two is the atomic number of germanium, and "32-bit" describes a generation of processors and operating systems that could address about 4.29 billion memory locations. A chess set holds 32 pieces, a quart holds 32 fluid ounces, and an adult has 32 teeth including wisdom teeth. The FIFA World Cup used a 32-team format from 1998 to 2022. Objects near the Earth's surface accelerate at about 32 feet per second every second.
Thirty-two is two to the fifth power, and it has an unusual signature: 1¹ + 2² + 3³ = 1 + 4 + 27 = 32. In binary it is 100000, and it is the number of possible values in five bits, which is why early teleprinter codes such as Baudot had 32 characters. Its only prime factor is 2, so it has six divisors, all powers of two. A regular 32-gon is constructible with compass and straightedge.
Nearby numbers
How to read this page
The factor list shows every way 32 splits into equal whole-number groups — 6 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 32 for contexts that do not use decimal.
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