The number 31265
31265 is a composite number with 12 divisors. Its prime factorisation is 5 × × 37. Divisors (12): 1, 5, 13, 37, 65, 169, 185, 481, 845, 2405, 6253, 31265.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31265 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31265 is composite. Its prime factorisation is
- 3
The divisors add up to 41724; without 31265 itself that is 10459, so 31265 is deficient (10459 is less than 31265). Euler's totient φ(31265) = 22464 numbers up to 31265 share no factor with it.
- 4
The digits of 31265 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31265 = 5 \times 13^{2} \times 37 \]31265 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41724 |
| Euler totient φ(n) | 22464 |
| Square | 977500225 |
| Cube | 30561544534625 |
| Square root | 176.819117 (= 13√185) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.1265 × |
31265 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and sixty-five |
| Binary (base 2) | 111101000100001 |
| Octal (base 8) | 75041 |
| Hexadecimal (base 16) | 7A21 |
| Base 3 | 1120212222 |
| As time | 31265 seconds = 8 h 41 min 5 s |
Is 31265 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 | No (remainder 2) | 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 | Yes (31265 ÷ 5 = 6253) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31265 a prime number?
No. 31265 = 5 × × 37, so it is divisible by 5.
What are the factors of 31265?
1, 5, 13, 37, 65, 169, 185, 481, 845, 2405, 6253, 31265.
What is 31265 in binary?
111101000100001 (hexadecimal 7A21, octal 75041).
What is the square root of 31265?
About 176.8191, exactly 13√185.
Is 31265 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31265?
It is a composite number with 12 divisors.