The number 57137
57137 is a composite number with 4 divisors. Its prime factorisation is 17 × 3361. Divisors (4): 1, 17, 3361, 57137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3361, the product of two primes.
- 2
57137 is composite. Its prime factorisation is
- 3
The divisors add up to 60516; without 57137 itself that is 3379, so 57137 is deficient (3379 is less than 57137). Euler's totient φ(57137) = 53760 numbers up to 57137 share no factor with it.
- 4
The digits of 57137 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57137 = 17 \times 3361 \]
57137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 60516 |
| Euler totient φ(n) | 53760 |
| Square | 3264636769 |
| Cube | 186531551070353 |
| Square root | 239.033470 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.7137 × |
57137 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 1101111100110001 |
| Octal (base 8) | 157461 |
| Hexadecimal (base 16) | DF31 |
| Base 3 | 2220101012 |
| As time | 57137 seconds = 15 h 52 min 17 s |
Is 57137 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 3) | 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 3) | 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 57137 a prime number?
No. 57137 = 17 × 3361, so it is divisible by 17.
What are the factors of 57137?
1, 17, 3361, 57137.
What is 57137 in binary?
1101111100110001 (hexadecimal DF31, octal 157461).
What is the square root of 57137?
About 239.0335.
Is 57137 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57137?
57137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3361, the product of two primes.