The number 56501
56501 is a twin prime (56501 and 56503 are both prime) and the 5729th prime number. Its only divisors are 1 and 56501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56501: a twin prime (56501 and 56503 are both prime); the 5729th prime number.
- 2
56501 is prime, so its only factors are 1 and 56501. It is the 5729th prime; the next prime is 56503 and the one before is 56489.
- 3
The divisors add up to 56502; without 56501 itself that is 1, so 56501 is deficient (1 is less than 56501). Euler's totient φ(56501) = 56500 numbers up to 56501 share no factor with it.
- 4
The digits of 56501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
56501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 56502 |
| Euler totient φ(n) | 56500 |
| Square | 3192363001 |
| Cube | 180371701919501 |
| Square root | 237.699390 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6501 × |
56501 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand five hundred and one |
| Binary (base 2) | 1101110010110101 |
| Octal (base 8) | 156265 |
| Hexadecimal (base 16) | DCB5 |
| Base 3 | 2212111122 |
| As time | 56501 seconds = 15 h 41 min 41 s |
Is 56501 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 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56501 a prime number?
Yes. 56501 is divisible only by 1 and itself.
What are the factors of 56501?
1, 56501.
What is 56501 in binary?
1101110010110101 (hexadecimal DCB5, octal 156265).
What is the square root of 56501?
About 237.6994.
Is 56501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 56501?
56501 is a twin prime (56501 and 56503 are both prime); the 5729th prime number.