The number 58711
58711 is the 5940th prime number. Its only divisors are 1 and 58711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58711: the 5940th prime number.
- 2
58711 is prime, so its only factors are 1 and 58711. It is the 5940th prime; the next prime is 58727 and the one before is 58699.
- 3
The divisors add up to 58712; without 58711 itself that is 1, so 58711 is deficient (1 is less than 58711). Euler's totient φ(58711) = 58710 numbers up to 58711 share no factor with it.
- 4
The digits of 58711 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 104 steps to reach 1.
58711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58712 |
| Euler totient φ(n) | 58710 |
| Square | 3446981521 |
| Cube | 202375732079431 |
| Square root | 242.303529 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8711 × |
58711 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and eleven |
| Binary (base 2) | 1110010101010111 |
| Octal (base 8) | 162527 |
| Hexadecimal (base 16) | E557 |
| Base 3 | 2222112111 |
| As time | 58711 seconds = 16 h 18 min 31 s |
Is 58711 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 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 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 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 58711 a prime number?
Yes. 58711 is divisible only by 1 and itself.
What are the factors of 58711?
1, 58711.
What is 58711 in binary?
1110010101010111 (hexadecimal E557, octal 162527).
What is the square root of 58711?
About 242.3035.
Is 58711 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58711?
58711 is the 5940th prime number.