Number reference
600 explained.
600: six hundred, composite; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- six hundred
- Classification
- composite
- Factors
- 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
- Prime factorization
- 2 × 2 × 2 × 3 × 5 × 5
- Square root
- 24.494897
- Cube root
- 8.434327
- Binary
- 1001011000
- Octal
- 1130
- Hexadecimal
- 258
- Roman numeral
- DC
- Digit sum
- 6
- Digital root
- 6
What makes 600 notable
- Factor structure. 600 breaks down into 3 distinct primes (2, 3, 5) and has 24 divisors in total, so it can be split into equal whole-number groups 22 ways beyond 1 and itself.
600 in everyday use
Six hundred is DC in Roman numerals and was a named unit in the Sumerian counting system, ten times the base of sixty; the Babylonians inherited it, which is how 600 seconds came to be ten minutes. In geometry it names the 600-cell, a four-dimensional regular solid made of 600 tetrahedra, the counterpart of the icosahedron one dimension up. Cars in the Mercedes-Benz 600 line and the Fiat 600 borrowed it as a model name, and a 600-metre race is run in indoor athletics.
It is 2³ × 3 × 5², with 24 divisors, and it is pronic: 24 × 25 = 600. It is also 10 × 60 and 6 × 100, a product of the two bases people have counted in. It is not a sum of two squares, because its prime factor 3 appears to an odd power, but it is the sum of the three squares 10² + 10² + 20². It is 1001011000 in binary and 258 in hexadecimal, and its digit sum is 6.
Nearby numbers
How to read this page
The factor list shows every way 600 splits into equal whole-number groups — 24 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 600 for contexts that do not use decimal.
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