The number 57349
57349 is a twin prime (57347 and 57349 are both prime) and the 5816th prime number. Its only divisors are 1 and 57349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57349: a twin prime (57347 and 57349 are both prime); the 5816th prime number.
- 2
57349 is prime, so its only factors are 1 and 57349. It is the 5816th prime; the next prime is 57367 and the one before is 57347.
- 3
The divisors add up to 57350; without 57349 itself that is 1, so 57349 is deficient (1 is less than 57349). Euler's totient φ(57349) = 57348 numbers up to 57349 share no factor with it.
- 4
The digits of 57349 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.
57349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57350 |
| Euler totient φ(n) | 57348 |
| Square | 3288907801 |
| Cube | 188615573479549 |
| Square root | 239.476512 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7349 × |
57349 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and forty-nine |
| Binary (base 2) | 1110000000000101 |
| Octal (base 8) | 160005 |
| Hexadecimal (base 16) | E005 |
| Base 3 | 2220200001 |
| As time | 57349 seconds = 15 h 55 min 49 s |
Is 57349 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 4) | 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 5) | 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 1) | 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 6) | 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 57349 a prime number?
Yes. 57349 is divisible only by 1 and itself.
What are the factors of 57349?
1, 57349.
What is 57349 in binary?
1110000000000101 (hexadecimal E005, octal 160005).
What is the square root of 57349?
About 239.4765.
Is 57349 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57349?
57349 is a twin prime (57347 and 57349 are both prime); the 5816th prime number.