The number 57731
57731 is the 5849th prime number. Its only divisors are 1 and 57731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57731: the 5849th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57731 is prime, so its only factors are 1 and 57731. It is the 5849th prime; the next prime is 57737 and the one before is 57727.
- 3
The divisors add up to 57732; without 57731 itself that is 1, so 57731 is deficient (1 is less than 57731). Euler's totient φ(57731) = 57730 numbers up to 57731 share no factor with it.
- 4
The digits of 57731 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
57731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57732 |
| Euler totient φ(n) | 57730 |
| Square | 3332868361 |
| Cube | 192409823348891 |
| Square root | 240.272762 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7731 × |
57731 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and thirty-one |
| Binary (base 2) | 1110000110000011 |
| Octal (base 8) | 160603 |
| Hexadecimal (base 16) | E183 |
| Base 3 | 2221012012 |
| As time | 57731 seconds = 16 h 2 min 11 s |
Is 57731 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 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57731 a prime number?
Yes. 57731 is divisible only by 1 and itself.
What are the factors of 57731?
1, 57731.
What is 57731 in binary?
1110000110000011 (hexadecimal E183, octal 160603).
What is the square root of 57731?
About 240.2728.
Is 57731 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 57731?
57731 is the 5849th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.