The number 12137
12137 is a composite number with 4 divisors. Its prime factorisation is 53 × 229. Divisors (4): 1, 53, 229, 12137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12137: a semiprime: 53 × 229, the product of two primes.
- 2
12137 is composite. Its prime factorisation is
- 3
The divisors add up to 12420; without 12137 itself that is 283, so 12137 is deficient (283 is less than 12137). Euler's totient φ(12137) = 11856 numbers up to 12137 share no factor with it.
- 4
The digits of 12137 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12137 = 53 \times 229 \]
12137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12420 |
| Euler totient φ(n) | 11856 |
| Square | 147306769 |
| Cube | 1787862255353 |
| Square root | 110.168053 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 1.2137 × |
12137 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and thirty-seven |
| Binary (base 2) | 10111101101001 |
| Octal (base 8) | 27551 |
| Hexadecimal (base 16) | 2F69 |
| Base 3 | 121122112 |
| As time | 12137 seconds = 3 h 22 min 17 s |
Is 12137 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 | No (remainder 2) | 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 6) | 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 5) | 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 4) | 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 12137 a prime number?
No. 12137 = 53 × 229, so it is divisible by 53.
What are the factors of 12137?
1, 53, 229, 12137.
What is 12137 in binary?
10111101101001 (hexadecimal 2F69, octal 27551).
What is the square root of 12137?
About 110.1681.
Is 12137 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 12137?
12137 is a semiprime: 53 × 229, the product of two primes.