The number 31525
31525 is a composite number with 12 divisors. Its prime factorisation is × 13 × 97. Divisors (12): 1, 5, 13, 25, 65, 97, 325, 485, 1261, 2425, 6305, 31525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31525 is composite. Its prime factorisation is
- 3
The divisors add up to 42532; without 31525 itself that is 11007, so 31525 is deficient (11007 is less than 31525). Euler's totient φ(31525) = 23040 numbers up to 31525 share no factor with it.
- 4
The digits of 31525 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31525 = 5^{2} \times 13 \times 97 \]31525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42532 |
| Euler totient φ(n) | 23040 |
| Square | 993825625 |
| Cube | 31330352828125 |
| Square root | 177.552809 (= 5√1261) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1525 × |
31525 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand five hundred and twenty-five |
| Binary (base 2) | 111101100100101 |
| Octal (base 8) | 75445 |
| Hexadecimal (base 16) | 7B25 |
| Base 3 | 1121020121 |
| As time | 31525 seconds = 8 h 45 min 25 s |
Is 31525 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 1) | 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 (31525 ÷ 5 = 6305) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31525 a prime number?
No. 31525 = × 13 × 97, so it is divisible by 5.
What are the factors of 31525?
1, 5, 13, 25, 65, 97, 325, 485, 1261, 2425, 6305, 31525.
What is 31525 in binary?
111101100100101 (hexadecimal 7B25, octal 75445).
What is the square root of 31525?
About 177.5528, exactly 5√1261.
Is 31525 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31525?
It is a composite number with 12 divisors.