The number 58031
58031 is the 5876th prime number. Its only divisors are 1 and 58031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58031: the 5876th prime number.
- 2
58031 is prime, so its only factors are 1 and 58031. It is the 5876th prime; the next prime is 58043 and the one before is 58027.
- 3
The divisors add up to 58032; without 58031 itself that is 1, so 58031 is deficient (1 is less than 58031). Euler's totient φ(58031) = 58030 numbers up to 58031 share no factor with it.
- 4
The digits of 58031 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 73 steps to reach 1.
58031 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 58030 |
| Square | 3367596961 |
| Cube | 195425019243791 |
| Square root | 240.896243 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8031 × |
58031 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and thirty-one |
| Binary (base 2) | 1110001010101111 |
| Octal (base 8) | 161257 |
| Hexadecimal (base 16) | E2AF |
| Base 3 | 2221121022 |
| As time | 58031 seconds = 16 h 7 min 11 s |
Is 58031 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58031 a prime number?
Yes. 58031 is divisible only by 1 and itself.
What are the factors of 58031?
1, 58031.
What is 58031 in binary?
1110001010101111 (hexadecimal E2AF, octal 161257).
What is the square root of 58031?
About 240.8962.
Is 58031 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 58031?
58031 is the 5876th prime number.