The number 56767
56767 is the 5755th prime number. Its only divisors are 1 and 56767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56767: the 5755th prime number.
- 2
56767 is prime, so its only factors are 1 and 56767. It is the 5755th prime; the next prime is 56773 and the one before is 56747.
- 3
The divisors add up to 56768; without 56767 itself that is 1, so 56767 is deficient (1 is less than 56767). Euler's totient φ(56767) = 56766 numbers up to 56767 share no factor with it.
- 4
The digits of 56767 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 109 steps to reach 1.
56767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56768 |
| Euler totient φ(n) | 56766 |
| Square | 3222492289 |
| Cube | 182931219769663 |
| Square root | 238.258263 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.6767 × |
56767 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and sixty-seven |
| Binary (base 2) | 1101110110111111 |
| Octal (base 8) | 156677 |
| Hexadecimal (base 16) | DDBF |
| Base 3 | 2212212111 |
| As time | 56767 seconds = 15 h 46 min 7 s |
Is 56767 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 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 7) | 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 7) | 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 56767 a prime number?
Yes. 56767 is divisible only by 1 and itself.
What are the factors of 56767?
1, 56767.
What is 56767 in binary?
1101110110111111 (hexadecimal DDBF, octal 156677).
What is the square root of 56767?
About 238.2583.
Is 56767 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 56767?
56767 is the 5755th prime number.