The number 31876
31876 is a composite number with 12 divisors. Its prime factorisation is × 13 × 613. Divisors (12): 1, 2, 4, 13, 26, 52, 613, 1226, 2452, 7969, 15938, 31876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31876 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31876 is composite. Its prime factorisation is
- 3
The divisors add up to 60172; without 31876 itself that is 28296, so 31876 is deficient (28296 is less than 31876). Euler's totient φ(31876) = 14688 numbers up to 31876 share no factor with it.
- 4
The digits of 31876 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31876 = 2^{2} \times 13 \times 613 \]31876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60172 |
| Euler totient φ(n) | 14688 |
| Square | 1016079376 |
| Cube | 32388546189376 |
| Square root | 178.538511 (= 2√7969) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1876 × |
31876 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and seventy-six |
| Binary (base 2) | 111110010000100 |
| Octal (base 8) | 76204 |
| Hexadecimal (base 16) | 7C84 |
| Base 3 | 1121201121 |
| As time | 31876 seconds = 8 h 51 min 16 s |
Is 31876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31876 ÷ 2 = 15938) | 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 (31876 ÷ 4 = 7969) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 31876 a prime number?
No. 31876 = × 13 × 613, so it is divisible by 2.
What are the factors of 31876?
1, 2, 4, 13, 26, 52, 613, 1226, 2452, 7969, 15938, 31876.
What is 31876 in binary?
111110010000100 (hexadecimal 7C84, octal 76204).
What is the square root of 31876?
About 178.5385, exactly 2√7969.
Is 31876 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 31876?
It is a composite number with 12 divisors.