The number 708
708 is a composite number with 12 divisors. Its prime factorisation is × 3 × 59. Divisors (12): 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
708 is composite. Its prime factorisation is
- 3
The divisors add up to 1680; without 708 itself that is 972, so 708 is abundant (972 is more than 708). Euler's totient φ(708) = 232 numbers up to 708 share no factor with it.
- 4
The digits of 708 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 708 = 2^{2} \times 3 \times 59 \]708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1680 |
| Euler totient φ(n) | 232 |
| Square | 501264 |
| Cube | 354894912 |
| Square root | 26.608269 (= 2√177) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 33 |
| Scientific notation | 7.08 × |
708 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and eight |
| Roman numerals | DCCVIII |
| Binary (base 2) | 1011000100 |
| Octal (base 8) | 1304 |
| Hexadecimal (base 16) | 2C4 |
| Base 3 | 222020 |
| As time | 708 seconds = 11 min 48 s |
Is 708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (708 ÷ 2 = 354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (708 ÷ 3 = 236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (708 ÷ 4 = 177) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (708 ÷ 6 = 118) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (708 ÷ 12 = 59) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 708 a prime number?
No. 708 = × 3 × 59, so it is divisible by 2.
What are the factors of 708?
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708.
What is 708 in binary?
1011000100 (hexadecimal 2C4, octal 1304).
What is the square root of 708?
About 26.6083, exactly 2√177.
What is 708 in Roman numerals?
DCCVIII.
Is 708 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 708?
It is a composite number with 12 divisors.