The number 57397
57397 is the 5821st prime number. Its only divisors are 1 and 57397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57397: the 5821st prime number.
- 2
57397 is prime, so its only factors are 1 and 57397. It is the 5821st prime; the next prime is 57413 and the one before is 57389.
- 3
The divisors add up to 57398; without 57397 itself that is 1, so 57397 is deficient (1 is less than 57397). Euler's totient φ(57397) = 57396 numbers up to 57397 share no factor with it.
- 4
The digits of 57397 add up to 31, 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.
57397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57398 |
| Euler totient φ(n) | 57396 |
| Square | 3294415609 |
| Cube | 189089572709773 |
| Square root | 239.576710 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7397 × |
57397 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and ninety-seven |
| Binary (base 2) | 1110000000110101 |
| Octal (base 8) | 160065 |
| Hexadecimal (base 16) | E035 |
| Base 3 | 2220201211 |
| As time | 57397 seconds = 15 h 56 min 37 s |
Is 57397 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 4) | 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 10) | 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 57397 a prime number?
Yes. 57397 is divisible only by 1 and itself.
What are the factors of 57397?
1, 57397.
What is 57397 in binary?
1110000000110101 (hexadecimal E035, octal 160065).
What is the square root of 57397?
About 239.5767.
Is 57397 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 57397?
57397 is the 5821st prime number.