The number 16831
16831 is a twin prime (16829 and 16831 are both prime) and the 1943rd prime number. Its only divisors are 1 and 16831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16831: a twin prime (16829 and 16831 are both prime); the 1943rd prime number.
- 2
16831 is prime, so its only factors are 1 and 16831. It is the 1943rd prime; the next prime is 16843 and the one before is 16829.
- 3
The divisors add up to 16832; without 16831 itself that is 1, so 16831 is deficient (1 is less than 16831). Euler's totient φ(16831) = 16830 numbers up to 16831 share no factor with it.
- 4
The digits of 16831 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 110 steps to reach 1.
16831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16832 |
| Euler totient φ(n) | 16830 |
| Square | 283282561 |
| Cube | 4767928784191 |
| Square root | 129.734344 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6831 × |
16831 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and thirty-one |
| Binary (base 2) | 100000110111111 |
| Octal (base 8) | 40677 |
| Hexadecimal (base 16) | 41BF |
| Base 3 | 212002101 |
| As time | 16831 seconds = 4 h 40 min 31 s |
Is 16831 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 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 1) | 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 16831 a prime number?
Yes. 16831 is divisible only by 1 and itself.
What are the factors of 16831?
1, 16831.
What is 16831 in binary?
100000110111111 (hexadecimal 41BF, octal 40677).
What is the square root of 16831?
About 129.7343.
Is 16831 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16831?
16831 is a twin prime (16829 and 16831 are both prime); the 1943rd prime number.