The number 31712
31712 is a composite number with 12 divisors. Its prime factorisation is × 991. Divisors (12): 1, 2, 4, 8, 16, 32, 991, 1982, 3964, 7928, 15856, 31712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31712 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 31712 itself that is 30784, so 31712 is deficient (30784 is less than 31712). Euler's totient φ(31712) = 15840 numbers up to 31712 share no factor with it.
- 4
The digits of 31712 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31712 = 2^{5} \times 991 \]31712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 15840 |
| Square | 1005650944 |
| Cube | 31891202736128 |
| Square root | 178.078634 (= 4√1982) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1712 × |
31712 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and twelve |
| Binary (base 2) | 111101111100000 |
| Octal (base 8) | 75740 |
| Hexadecimal (base 16) | 7BE0 |
| Base 3 | 1121111112 |
| As time | 31712 seconds = 8 h 48 min 32 s |
Is 31712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31712 ÷ 2 = 15856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31712 ÷ 4 = 7928) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (31712 ÷ 8 = 3964) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31712 a prime number?
No. 31712 = × 991, so it is divisible by 2.
What are the factors of 31712?
1, 2, 4, 8, 16, 32, 991, 1982, 3964, 7928, 15856, 31712.
What is 31712 in binary?
111101111100000 (hexadecimal 7BE0, octal 75740).
What is the square root of 31712?
About 178.0786, exactly 4√1982.
Is 31712 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31712?
It is a composite number with 12 divisors.