The number 8231
8231 is a twin prime (8231 and 8233 are both prime) and the 1032nd prime number. Its only divisors are 1 and 8231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8231: a twin prime (8231 and 8233 are both prime); the 1032nd prime number.
- 2
8231 is prime, so its only factors are 1 and 8231. It is the 1032nd prime; the next prime is 8233 and the one before is 8221.
- 3
The divisors add up to 8232; without 8231 itself that is 1, so 8231 is deficient (1 is less than 8231). Euler's totient φ(8231) = 8230 numbers up to 8231 share no factor with it.
- 4
The digits of 8231 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
8231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8232 |
| Euler totient φ(n) | 8230 |
| Square | 67749361 |
| Cube | 557644990391 |
| Square root | 90.724859 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.231 × |
8231 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and thirty-one |
| Binary (base 2) | 10000000100111 |
| Octal (base 8) | 20047 |
| Hexadecimal (base 16) | 2027 |
| Base 3 | 102021212 |
| As time | 8231 seconds = 2 h 17 min 11 s |
Is 8231 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 6) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8231 a prime number?
Yes. 8231 is divisible only by 1 and itself.
What are the factors of 8231?
1, 8231.
What is 8231 in binary?
10000000100111 (hexadecimal 2027, octal 20047).
What is the square root of 8231?
About 90.7249.
Is 8231 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8231?
8231 is a twin prime (8231 and 8233 are both prime); the 1032nd prime number.