The number 712
712 is a composite number with 8 divisors. Its prime factorisation is × 89. Divisors (8): 1, 2, 4, 8, 89, 178, 356, 712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
712 is composite. Its prime factorisation is
- 3
The divisors add up to 1350; without 712 itself that is 638, so 712 is deficient (638 is less than 712). Euler's totient φ(712) = 352 numbers up to 712 share no factor with it.
- 4
The digits of 712 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 712 = 2^{3} \times 89 \]712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1350 |
| Euler totient φ(n) | 352 |
| Square | 506944 |
| Cube | 360944128 |
| Square root | 26.683328 (= 2√178) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 7.12 × |
712 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and twelve |
| Roman numerals | DCCXII |
| Binary (base 2) | 1011001000 |
| Octal (base 8) | 1310 |
| Hexadecimal (base 16) | 2C8 |
| Base 3 | 222101 |
| As time | 712 seconds = 11 min 52 s |
Is 712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (712 ÷ 2 = 356) | 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 (712 ÷ 4 = 178) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 5) | 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 | Yes (712 ÷ 8 = 89) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 712 a prime number?
No. 712 = × 89, so it is divisible by 2.
What are the factors of 712?
1, 2, 4, 8, 89, 178, 356, 712.
What is 712 in binary?
1011001000 (hexadecimal 2C8, octal 1310).
What is the square root of 712?
About 26.6833, exactly 2√178.
What is 712 in Roman numerals?
DCCXII.
Is 712 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 712?
It is a composite number with 8 divisors.