The number 5231
5231 is a twin prime (5231 and 5233 are both prime) and the 695th prime number. Its only divisors are 1 and 5231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5231: a twin prime (5231 and 5233 are both prime); the 695th prime number.
- 2
5231 is prime, so its only factors are 1 and 5231. It is the 695th prime; the next prime is 5233 and the one before is 5227.
- 3
The divisors add up to 5232; without 5231 itself that is 1, so 5231 is deficient (1 is less than 5231). Euler's totient φ(5231) = 5230 numbers up to 5231 share no factor with it.
- 4
The digits of 5231 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
5231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5232 |
| Euler totient φ(n) | 5230 |
| Square | 27363361 |
| Cube | 143137741391 |
| Square root | 72.325652 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.231 × |
5231 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and thirty-one |
| Binary (base 2) | 1010001101111 |
| Octal (base 8) | 12157 |
| Hexadecimal (base 16) | 146F |
| Base 3 | 21011202 |
| As time | 5231 seconds = 1 h 27 min 11 s |
Is 5231 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 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 2) | 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 5231 a prime number?
Yes. 5231 is divisible only by 1 and itself.
What are the factors of 5231?
1, 5231.
What is 5231 in binary?
1010001101111 (hexadecimal 146F, octal 12157).
What is the square root of 5231?
About 72.3257.
Is 5231 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5231?
5231 is a twin prime (5231 and 5233 are both prime); the 695th prime number.