The number 31132
31132 is a composite number with 12 divisors. Its prime factorisation is × 43 × 181. Divisors (12): 1, 2, 4, 43, 86, 172, 181, 362, 724, 7783, 15566, 31132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31132 is composite. Its prime factorisation is
- 3
The divisors add up to 56056; without 31132 itself that is 24924, so 31132 is deficient (24924 is less than 31132). Euler's totient φ(31132) = 15120 numbers up to 31132 share no factor with it.
- 4
The digits of 31132 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31132 = 2^{2} \times 43 \times 181 \]31132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56056 |
| Euler totient φ(n) | 15120 |
| Square | 969201424 |
| Cube | 30173178731968 |
| Square root | 176.442625 (= 2√7783) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1132 × |
31132 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty-two |
| Binary (base 2) | 111100110011100 |
| Octal (base 8) | 74634 |
| Hexadecimal (base 16) | 799C |
| Base 3 | 1120201001 |
| As time | 31132 seconds = 8 h 38 min 52 s |
Is 31132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31132 ÷ 2 = 15566) | 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 (31132 ÷ 4 = 7783) | 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 3) | 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 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 2) | 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 31132 a prime number?
No. 31132 = × 43 × 181, so it is divisible by 2.
What are the factors of 31132?
1, 2, 4, 43, 86, 172, 181, 362, 724, 7783, 15566, 31132.
What is 31132 in binary?
111100110011100 (hexadecimal 799C, octal 74634).
What is the square root of 31132?
About 176.4426, exactly 2√7783.
Is 31132 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31132?
It is a composite number with 12 divisors.