The number 57367
57367 is the 5817th prime number. Its only divisors are 1 and 57367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57367: the 5817th prime number.
- 2
57367 is prime, so its only factors are 1 and 57367. It is the 5817th prime; the next prime is 57373 and the one before is 57349.
- 3
The divisors add up to 57368; without 57367 itself that is 1, so 57367 is deficient (1 is less than 57367). Euler's totient φ(57367) = 57366 numbers up to 57367 share no factor with it.
- 4
The digits of 57367 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
57367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57368 |
| Euler totient φ(n) | 57366 |
| Square | 3290972689 |
| Cube | 188793230249863 |
| Square root | 239.514091 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7367 × |
57367 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and sixty-seven |
| Binary (base 2) | 1110000000010111 |
| Octal (base 8) | 160027 |
| Hexadecimal (base 16) | E017 |
| Base 3 | 2220200201 |
| As time | 57367 seconds = 15 h 56 min 7 s |
Is 57367 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 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 7) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57367 a prime number?
Yes. 57367 is divisible only by 1 and itself.
What are the factors of 57367?
1, 57367.
What is 57367 in binary?
1110000000010111 (hexadecimal E017, octal 160027).
What is the square root of 57367?
About 239.5141.
Is 57367 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57367?
57367 is the 5817th prime number.