The number 57329
57329 is a twin prime (57329 and 57331 are both prime) and the 5813th prime number. Its only divisors are 1 and 57329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57329: a twin prime (57329 and 57331 are both prime); the 5813th prime number.
- 2
57329 is prime, so its only factors are 1 and 57329. It is the 5813th prime; the next prime is 57331 and the one before is 57301.
- 3
The divisors add up to 57330; without 57329 itself that is 1, so 57329 is deficient (1 is less than 57329). Euler's totient φ(57329) = 57328 numbers up to 57329 share no factor with it.
- 4
The digits of 57329 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
57329 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57330 |
| Euler totient φ(n) | 57328 |
| Square | 3286614241 |
| Cube | 188418307822289 |
| Square root | 239.434751 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7329 × |
57329 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and twenty-nine |
| Binary (base 2) | 1101111111110001 |
| Octal (base 8) | 157761 |
| Hexadecimal (base 16) | DFF1 |
| Base 3 | 2220122022 |
| As time | 57329 seconds = 15 h 55 min 29 s |
Is 57329 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 4) | 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 6) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 57329 a prime number?
Yes. 57329 is divisible only by 1 and itself.
What are the factors of 57329?
1, 57329.
What is 57329 in binary?
1101111111110001 (hexadecimal DFF1, octal 157761).
What is the square root of 57329?
About 239.4348.
Is 57329 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 57329?
57329 is a twin prime (57329 and 57331 are both prime); the 5813th prime number.