The number 58831
58831 is the 5949th prime number. Its only divisors are 1 and 58831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58831: the 5949th prime number.
- 2
58831 is prime, so its only factors are 1 and 58831. It is the 5949th prime; the next prime is 58889 and the one before is 58789.
- 3
The divisors add up to 58832; without 58831 itself that is 1, so 58831 is deficient (1 is less than 58831). Euler's totient φ(58831) = 58830 numbers up to 58831 share no factor with it.
- 4
The digits of 58831 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
58831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58832 |
| Euler totient φ(n) | 58830 |
| Square | 3461086561 |
| Cube | 203619183470191 |
| Square root | 242.551026 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8831 × |
58831 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and thirty-one |
| Binary (base 2) | 1110010111001111 |
| Octal (base 8) | 162717 |
| Hexadecimal (base 16) | E5CF |
| Base 3 | 2222200221 |
| As time | 58831 seconds = 16 h 20 min 31 s |
Is 58831 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 3) | 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 7) | 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 3) | 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 58831 a prime number?
Yes. 58831 is divisible only by 1 and itself.
What are the factors of 58831?
1, 58831.
What is 58831 in binary?
1110010111001111 (hexadecimal E5CF, octal 162717).
What is the square root of 58831?
About 242.5510.
Is 58831 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58831?
58831 is the 5949th prime number.