The number 56737
56737 is the 5753rd prime number. Its only divisors are 1 and 56737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56737: the 5753rd prime number.
- 2
56737 is prime, so its only factors are 1 and 56737. It is the 5753rd prime; the next prime is 56747 and the one before is 56731.
- 3
The divisors add up to 56738; without 56737 itself that is 1, so 56737 is deficient (1 is less than 56737). Euler's totient φ(56737) = 56736 numbers up to 56737 share no factor with it.
- 4
The digits of 56737 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 104 steps to reach 1.
56737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56738 |
| Euler totient φ(n) | 56736 |
| Square | 3219087169 |
| Cube | 182641348707553 |
| Square root | 238.195298 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6737 × |
56737 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and thirty-seven |
| Binary (base 2) | 1101110110100001 |
| Octal (base 8) | 156641 |
| Hexadecimal (base 16) | DDA1 |
| Base 3 | 2212211101 |
| As time | 56737 seconds = 15 h 45 min 37 s |
Is 56737 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 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 56737 a prime number?
Yes. 56737 is divisible only by 1 and itself.
What are the factors of 56737?
1, 56737.
What is 56737 in binary?
1101110110100001 (hexadecimal DDA1, octal 156641).
What is the square root of 56737?
About 238.1953.
Is 56737 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 56737?
56737 is the 5753rd prime number.