The number 16231
16231 is a twin prime (16229 and 16231 are both prime) and the 1887th prime number. Its only divisors are 1 and 16231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16231: a twin prime (16229 and 16231 are both prime); the 1887th prime number.
- 2
16231 is prime, so its only factors are 1 and 16231. It is the 1887th prime; the next prime is 16249 and the one before is 16229.
- 3
The divisors add up to 16232; without 16231 itself that is 1, so 16231 is deficient (1 is less than 16231). Euler's totient φ(16231) = 16230 numbers up to 16231 share no factor with it.
- 4
The digits of 16231 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
16231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16232 |
| Euler totient φ(n) | 16230 |
| Square | 263445361 |
| Cube | 4275981654391 |
| Square root | 127.400942 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6231 × |
16231 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and thirty-one |
| Binary (base 2) | 11111101100111 |
| Octal (base 8) | 37547 |
| Hexadecimal (base 16) | 3F67 |
| Base 3 | 211021011 |
| As time | 16231 seconds = 4 h 30 min 31 s |
Is 16231 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 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16231 a prime number?
Yes. 16231 is divisible only by 1 and itself.
What are the factors of 16231?
1, 16231.
What is 16231 in binary?
11111101100111 (hexadecimal 3F67, octal 37547).
What is the square root of 16231?
About 127.4009.
Is 16231 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16231?
16231 is a twin prime (16229 and 16231 are both prime); the 1887th prime number.