The number 31612
31612 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1129. Divisors (12): 1, 2, 4, 7, 14, 28, 1129, 2258, 4516, 7903, 15806, 31612.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31612 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31612 is composite. Its prime factorisation is
- 3
The divisors add up to 63280; without 31612 itself that is 31668, so 31612 is abundant (31668 is more than 31612). Euler's totient φ(31612) = 13536 numbers up to 31612 share no factor with it.
- 4
The digits of 31612 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31612 = 2^{2} \times 7 \times 1129 \]31612 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63280 |
| Euler totient φ(n) | 13536 |
| Square | 999318544 |
| Cube | 31590457812928 |
| Square root | 177.797638 (= 2√7903) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 3.1612 × |
31612 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and twelve |
| Binary (base 2) | 111101101111100 |
| Octal (base 8) | 75574 |
| Hexadecimal (base 16) | 7B7C |
| Base 3 | 1121100211 |
| As time | 31612 seconds = 8 h 46 min 52 s |
Is 31612 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31612 ÷ 2 = 15806) | 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 (31612 ÷ 4 = 7903) | 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 | Yes (31612 ÷ 7 = 4516) | 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 4) | 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 9) | 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 31612 a prime number?
No. 31612 = × 7 × 1129, so it is divisible by 2.
What are the factors of 31612?
1, 2, 4, 7, 14, 28, 1129, 2258, 4516, 7903, 15806, 31612.
What is 31612 in binary?
111101101111100 (hexadecimal 7B7C, octal 75574).
What is the square root of 31612?
About 177.7976, exactly 2√7903.
Is 31612 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31612?
It is a composite number with 12 divisors.