The number 700
700 is a composite number with 18 divisors. Its prime factorisation is × × 7. Divisors (18): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175 … 700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 700: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.
- 2
700 is composite. Its prime factorisation is
- 3
The divisors add up to 1736; without 700 itself that is 1036, so 700 is abundant (1036 is more than 700). Euler's totient φ(700) = 240 numbers up to 700 share no factor with it.
- 4
The digits of 700 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 700 = 2^{2} \times 5^{2} \times 7 \]700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 1736 |
| Euler totient φ(n) | 240 |
| Square | 490000 |
| Cube | 343000000 |
| Square root | 26.457513 (= 10√7) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 82 |
| Scientific notation | 7 × |
700 in other forms
| Form | Value |
|---|---|
| In words | seven hundred |
| Roman numerals | DCC |
| Binary (base 2) | 1010111100 |
| Octal (base 8) | 1274 |
| Hexadecimal (base 16) | 2BC |
| Base 3 | 221221 |
| As time | 700 seconds = 11 min 40 s |
Is 700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (700 ÷ 2 = 350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (700 ÷ 4 = 175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (700 ÷ 5 = 140) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (700 ÷ 7 = 100) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (700 ÷ 10 = 70) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 700 a prime number?
No. 700 = × × 7, so it is divisible by 2.
What are the factors of 700?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.
What is 700 in binary?
1010111100 (hexadecimal 2BC, octal 1274).
What is the square root of 700?
About 26.4575, exactly 10√7.
What is 700 in Roman numerals?
DCC.
Is 700 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 700?
700 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.