The number 58231
58231 is a twin prime (58229 and 58231 are both prime) and the 5899th prime number. Its only divisors are 1 and 58231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58231: a twin prime (58229 and 58231 are both prime); the 5899th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58231 is prime, so its only factors are 1 and 58231. It is the 5899th prime; the next prime is 58237 and the one before is 58229.
- 3
The divisors add up to 58232; without 58231 itself that is 1, so 58231 is deficient (1 is less than 58231). Euler's totient φ(58231) = 58230 numbers up to 58231 share no factor with it.
- 4
The digits of 58231 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
58231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58232 |
| Euler totient φ(n) | 58230 |
| Square | 3390849361 |
| Cube | 197452549140391 |
| Square root | 241.311003 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.8231 × |
58231 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and thirty-one |
| Binary (base 2) | 1110001101110111 |
| Octal (base 8) | 161567 |
| Hexadecimal (base 16) | E377 |
| Base 3 | 2221212201 |
| As time | 58231 seconds = 16 h 10 min 31 s |
Is 58231 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 5) | 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 1) | 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 8) | 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 58231 a prime number?
Yes. 58231 is divisible only by 1 and itself.
What are the factors of 58231?
1, 58231.
What is 58231 in binary?
1110001101110111 (hexadecimal E377, octal 161567).
What is the square root of 58231?
About 241.3110.
Is 58231 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58231?
58231 is a twin prime (58229 and 58231 are both prime); the 5899th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.