The number 31137
31137 is a composite number with 8 divisors. Its prime factorisation is 3 × 97 × 107. Divisors (8): 1, 3, 97, 107, 291, 321, 10379, 31137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31137 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 31137 itself that is 11199, so 31137 is deficient (11199 is less than 31137). Euler's totient φ(31137) = 20352 numbers up to 31137 share no factor with it.
- 4
The digits of 31137 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 209 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31137 = 3 \times 97 \times 107 \]
31137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 20352 |
| Square | 969512769 |
| Cube | 30187719088353 |
| Square root | 176.456794 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 209 |
| Scientific notation | 3.1137 × |
31137 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty-seven |
| Binary (base 2) | 111100110100001 |
| Octal (base 8) | 74641 |
| Hexadecimal (base 16) | 79A1 |
| Base 3 | 1120201020 |
| As time | 31137 seconds = 8 h 38 min 57 s |
Is 31137 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 (31137 ÷ 3 = 10379) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31137 a prime number?
No. 31137 = 3 × 97 × 107, so it is divisible by 3.
What are the factors of 31137?
1, 3, 97, 107, 291, 321, 10379, 31137.
What is 31137 in binary?
111100110100001 (hexadecimal 79A1, octal 74641).
What is the square root of 31137?
About 176.4568.
Is 31137 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31137?
It is a composite number with 8 divisors.