The number 31707
31707 is a composite number with 12 divisors. Its prime factorisation is × 13 × 271. Divisors (12): 1, 3, 9, 13, 39, 117, 271, 813, 2439, 3523, 10569, 31707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31707 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31707 is composite. Its prime factorisation is
- 3
The divisors add up to 49504; without 31707 itself that is 17797, so 31707 is deficient (17797 is less than 31707). Euler's totient φ(31707) = 19440 numbers up to 31707 share no factor with it.
- 4
The digits of 31707 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31707 = 3^{2} \times 13 \times 271 \]31707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49504 |
| Euler totient φ(n) | 19440 |
| Square | 1005333849 |
| Cube | 31876120350243 |
| Square root | 178.064595 (= 3√3523) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1707 × |
31707 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and seven |
| Binary (base 2) | 111101111011011 |
| Octal (base 8) | 75733 |
| Hexadecimal (base 16) | 7BDB |
| Base 3 | 1121111100 |
| As time | 31707 seconds = 8 h 48 min 27 s |
Is 31707 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31707 ÷ 3 = 10569) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31707 ÷ 9 = 3523) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31707 a prime number?
No. 31707 = × 13 × 271, so it is divisible by 3.
What are the factors of 31707?
1, 3, 9, 13, 39, 117, 271, 813, 2439, 3523, 10569, 31707.
What is 31707 in binary?
111101111011011 (hexadecimal 7BDB, octal 75733).
What is the square root of 31707?
About 178.0646, exactly 3√3523.
Is 31707 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31707?
It is a composite number with 12 divisors.