The number 56731
56731 is the 5752nd prime number. Its only divisors are 1 and 56731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56731: the 5752nd prime number.
- 2
56731 is prime, so its only factors are 1 and 56731. It is the 5752nd prime; the next prime is 56737 and the one before is 56713.
- 3
The divisors add up to 56732; without 56731 itself that is 1, so 56731 is deficient (1 is less than 56731). Euler's totient φ(56731) = 56730 numbers up to 56731 share no factor with it.
- 4
The digits of 56731 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
56731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56732 |
| Euler totient φ(n) | 56730 |
| Square | 3218406361 |
| Cube | 182583411265891 |
| Square root | 238.182703 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.6731 × |
56731 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and thirty-one |
| Binary (base 2) | 1101110110011011 |
| Octal (base 8) | 156633 |
| Hexadecimal (base 16) | DD9B |
| Base 3 | 2212211011 |
| As time | 56731 seconds = 15 h 45 min 31 s |
Is 56731 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 1) | 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 3) | 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 4) | 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 4) | 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 56731 a prime number?
Yes. 56731 is divisible only by 1 and itself.
What are the factors of 56731?
1, 56731.
What is 56731 in binary?
1101110110011011 (hexadecimal DD9B, octal 156633).
What is the square root of 56731?
About 238.1827.
Is 56731 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 56731?
56731 is the 5752nd prime number.