The number 31167
31167 is a composite number with 6 divisors. Its prime factorisation is × 3463. Divisors (6): 1, 3, 9, 3463, 10389, 31167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31167 is composite. Its prime factorisation is
- 3
The divisors add up to 45032; without 31167 itself that is 13865, so 31167 is deficient (13865 is less than 31167). Euler's totient φ(31167) = 20772 numbers up to 31167 share no factor with it.
- 4
The digits of 31167 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31167 = 3^{2} \times 3463 \]31167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 45032 |
| Euler totient φ(n) | 20772 |
| Square | 971381889 |
| Cube | 30275059334463 |
| Square root | 176.541780 (= 3√3463) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1167 × |
31167 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and sixty-seven |
| Binary (base 2) | 111100110111111 |
| Octal (base 8) | 74677 |
| Hexadecimal (base 16) | 79BF |
| Base 3 | 1120202100 |
| As time | 31167 seconds = 8 h 39 min 27 s |
Is 31167 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 (31167 ÷ 3 = 10389) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31167 ÷ 9 = 3463) | 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 4) | 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 31167 a prime number?
No. 31167 = × 3463, so it is divisible by 3.
What are the factors of 31167?
1, 3, 9, 3463, 10389, 31167.
What is 31167 in binary?
111100110111111 (hexadecimal 79BF, octal 74677).
What is the square root of 31167?
About 176.5418, exactly 3√3463.
Is 31167 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31167?
It is a composite number with 6 divisors.