The number 23137
23137 is a composite number with 4 divisors. Its prime factorisation is 17 × 1361. Divisors (4): 1, 17, 1361, 23137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23137: a semiprime: 17 × 1361, the product of two primes.
- 2
23137 is composite. Its prime factorisation is
- 3
The divisors add up to 24516; without 23137 itself that is 1379, so 23137 is deficient (1379 is less than 23137). Euler's totient φ(23137) = 21760 numbers up to 23137 share no factor with it.
- 4
The digits of 23137 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23137 = 17 \times 1361 \]
23137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24516 |
| Euler totient φ(n) | 21760 |
| Square | 535320769 |
| Cube | 12385716632353 |
| Square root | 152.108514 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3137 × |
23137 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and thirty-seven |
| Binary (base 2) | 101101001100001 |
| Octal (base 8) | 55141 |
| Hexadecimal (base 16) | 5A61 |
| Base 3 | 1011201221 |
| As time | 23137 seconds = 6 h 25 min 37 s |
Is 23137 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 | No (remainder 2) | 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 2) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23137 a prime number?
No. 23137 = 17 × 1361, so it is divisible by 17.
What are the factors of 23137?
1, 17, 1361, 23137.
What is 23137 in binary?
101101001100001 (hexadecimal 5A61, octal 55141).
What is the square root of 23137?
About 152.1085.
Is 23137 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 23137?
23137 is a semiprime: 17 × 1361, the product of two primes.