The number 31325
31325 is a composite number with 12 divisors. Its prime factorisation is × 7 × 179. Divisors (12): 1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31325 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 31325 itself that is 13315, so 31325 is deficient (13315 is less than 31325). Euler's totient φ(31325) = 21360 numbers up to 31325 share no factor with it.
- 4
The digits of 31325 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31325 = 5^{2} \times 7 \times 179 \]31325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 21360 |
| Square | 981255625 |
| Cube | 30737832453125 |
| Square root | 176.988700 (= 5√1253) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1325 × |
31325 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and twenty-five |
| Binary (base 2) | 111101001011101 |
| Octal (base 8) | 75135 |
| Hexadecimal (base 16) | 7A5D |
| Base 3 | 1120222012 |
| As time | 31325 seconds = 8 h 42 min 5 s |
Is 31325 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 (31325 ÷ 5 = 6265) | 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 | Yes (31325 ÷ 7 = 4475) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 31325 a prime number?
No. 31325 = × 7 × 179, so it is divisible by 5.
What are the factors of 31325?
1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325.
What is 31325 in binary?
111101001011101 (hexadecimal 7A5D, octal 75135).
What is the square root of 31325?
About 176.9887, exactly 5√1253.
Is 31325 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31325?
It is a composite number with 12 divisors.