Number reference
700 explained.
700: seven hundred, composite; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- seven hundred
- Classification
- composite
- Factors
- 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
- Prime factorization
- 2 × 2 × 5 × 5 × 7
- Square root
- 26.457513
- Cube root
- 8.87904
- Binary
- 1010111100
- Octal
- 1274
- Hexadecimal
- 2BC
- Roman numeral
- DCC
- Digit sum
- 7
- Digital root
- 7
What makes 700 notable
- Factor structure. 700 breaks down into 3 distinct primes (2, 5, 7) and has 18 divisors in total, so it can be split into equal whole-number groups 16 ways beyond 1 and itself.
700 in everyday use
Seven hundred is DCC in Roman numerals and the round threshold most often quoted in consumer credit: on the 300-to-850 FICO scale used in the United States, a score of 700 or above is generally described as good by lenders. In television the 700 Club has broadcast since 1966, named for the 700 donors its founder sought. Runners know the 700-metre mark as the last bend of an 800, and 700c is the wheel size of most road bicycles, a label descended from a French tyre-diameter standard.
Arithmetically 700 is 2² × 5² × 7, with eighteen divisors. It is the sum of four consecutive primes, 167 + 173 + 179 + 181, and its digit sum of 7 divides it, so it is a Harshad number. It is 1010111100 in binary and 2BC in hexadecimal. It cannot be written as a sum of two squares because 7 appears in its factorisation to an odd power, and it lies between the primes 691 and 701.
Nearby numbers
How to read this page
The factor list shows every way 700 splits into equal whole-number groups — 18 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 700 for contexts that do not use decimal.
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