The number 25137
25137 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 3, 7, 9, 19, 21, 27, 49, 57, 63, 133, 147, 171, 189, 399, 441 … 25137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25137 is composite. Its prime factorisation is
- 3
The divisors add up to 45600; without 25137 itself that is 20463, so 25137 is deficient (20463 is less than 25137). Euler's totient φ(25137) = 13608 numbers up to 25137 share no factor with it.
- 4
The digits of 25137 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25137 = 3^{3} \times 7^{2} \times 19 \]25137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 45600 |
| Euler totient φ(n) | 13608 |
| Square | 631868769 |
| Cube | 15883285246353 |
| Square root | 158.546523 (= 21√57) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.5137 × |
25137 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand one hundred and thirty-seven |
| Binary (base 2) | 110001000110001 |
| Octal (base 8) | 61061 |
| Hexadecimal (base 16) | 6231 |
| Base 3 | 1021111000 |
| As time | 25137 seconds = 6 h 58 min 57 s |
Is 25137 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 (25137 ÷ 3 = 8379) | 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 | 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 | Yes (25137 ÷ 7 = 3591) | 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 | Yes (25137 ÷ 9 = 2793) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25137 a prime number?
No. 25137 = × × 19, so it is divisible by 3.
What are the factors of 25137?
1, 3, 7, 9, 19, 21, 27, 49, 57, 63, 133, 147, 171, 189, 399, 441, 513, 931, 1197, 1323, 2793, 3591, 8379, 25137.
What is 25137 in binary?
110001000110001 (hexadecimal 6231, octal 61061).
What is the square root of 25137?
About 158.5465, exactly 21√57.
Is 25137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25137?
It is a composite number with 24 divisors.