The number 57331
57331 is a twin prime (57329 and 57331 are both prime) and the 5814th prime number. Its only divisors are 1 and 57331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57331: a twin prime (57329 and 57331 are both prime); the 5814th prime number.
- 2
57331 is prime, so its only factors are 1 and 57331. It is the 5814th prime; the next prime is 57347 and the one before is 57329.
- 3
The divisors add up to 57332; without 57331 itself that is 1, so 57331 is deficient (1 is less than 57331). Euler's totient φ(57331) = 57330 numbers up to 57331 share no factor with it.
- 4
The digits of 57331 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
57331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57332 |
| Euler totient φ(n) | 57330 |
| Square | 3286843561 |
| Cube | 188438028195691 |
| Square root | 239.438927 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7331 × |
57331 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and thirty-one |
| Binary (base 2) | 1101111111110011 |
| Octal (base 8) | 157763 |
| Hexadecimal (base 16) | DFF3 |
| Base 3 | 2220122101 |
| As time | 57331 seconds = 15 h 55 min 31 s |
Is 57331 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57331 a prime number?
Yes. 57331 is divisible only by 1 and itself.
What are the factors of 57331?
1, 57331.
What is 57331 in binary?
1101111111110011 (hexadecimal DFF3, octal 157763).
What is the square root of 57331?
About 239.4389.
Is 57331 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 57331?
57331 is a twin prime (57329 and 57331 are both prime); the 5814th prime number.