The number 57037
57037 is the 5783rd prime number. Its only divisors are 1 and 57037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57037: the 5783rd prime number.
- 2
57037 is prime, so its only factors are 1 and 57037. It is the 5783rd prime; the next prime is 57041 and the one before is 56999.
- 3
The divisors add up to 57038; without 57037 itself that is 1, so 57037 is deficient (1 is less than 57037). Euler's totient φ(57037) = 57036 numbers up to 57037 share no factor with it.
- 4
The digits of 57037 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
57037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57038 |
| Euler totient φ(n) | 57036 |
| Square | 3253219369 |
| Cube | 185553873149653 |
| Square root | 238.824203 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7037 × |
57037 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and thirty-seven |
| Binary (base 2) | 1101111011001101 |
| Octal (base 8) | 157315 |
| Hexadecimal (base 16) | DECD |
| Base 3 | 2220020111 |
| As time | 57037 seconds = 15 h 50 min 37 s |
Is 57037 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57037 a prime number?
Yes. 57037 is divisible only by 1 and itself.
What are the factors of 57037?
1, 57037.
What is 57037 in binary?
1101111011001101 (hexadecimal DECD, octal 157315).
What is the square root of 57037?
About 238.8242.
Is 57037 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57037?
57037 is the 5783rd prime number.