The number 12537
12537 is a composite number with 12 divisors. Its prime factorisation is × 7 × 199. Divisors (12): 1, 3, 7, 9, 21, 63, 199, 597, 1393, 1791, 4179, 12537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12537 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12537 is composite. Its prime factorisation is
- 3
The divisors add up to 20800; without 12537 itself that is 8263, so 12537 is deficient (8263 is less than 12537). Euler's totient φ(12537) = 7128 numbers up to 12537 share no factor with it.
- 4
The digits of 12537 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12537 = 3^{2} \times 7 \times 199 \]12537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20800 |
| Euler totient φ(n) | 7128 |
| Square | 157176369 |
| Cube | 1970520138153 |
| Square root | 111.968746 (= 3√1393) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2537 × |
12537 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and thirty-seven |
| Binary (base 2) | 11000011111001 |
| Octal (base 8) | 30371 |
| Hexadecimal (base 16) | 30F9 |
| Base 3 | 122012100 |
| As time | 12537 seconds = 3 h 28 min 57 s |
Is 12537 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 (12537 ÷ 3 = 4179) | 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 (12537 ÷ 7 = 1791) | 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 (12537 ÷ 9 = 1393) | 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 8) | 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 12537 a prime number?
No. 12537 = × 7 × 199, so it is divisible by 3.
What are the factors of 12537?
1, 3, 7, 9, 21, 63, 199, 597, 1393, 1791, 4179, 12537.
What is 12537 in binary?
11000011111001 (hexadecimal 30F9, octal 30371).
What is the square root of 12537?
About 111.9687, exactly 3√1393.
Is 12537 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12537?
It is a composite number with 12 divisors.