The number 16931
16931 is the 1953rd prime number. Its only divisors are 1 and 16931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16931: the 1953rd prime number.
- 2
16931 is prime, so its only factors are 1 and 16931. It is the 1953rd prime; the next prime is 16937 and the one before is 16927.
- 3
The divisors add up to 16932; without 16931 itself that is 1, so 16931 is deficient (1 is less than 16931). Euler's totient φ(16931) = 16930 numbers up to 16931 share no factor with it.
- 4
The digits of 16931 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
16931 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16932 |
| Euler totient φ(n) | 16930 |
| Square | 286658761 |
| Cube | 4853419482491 |
| Square root | 130.119176 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6931 × |
16931 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and thirty-one |
| Binary (base 2) | 100001000100011 |
| Octal (base 8) | 41043 |
| Hexadecimal (base 16) | 4223 |
| Base 3 | 212020002 |
| As time | 16931 seconds = 4 h 42 min 11 s |
Is 16931 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 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 3) | 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 2) | 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 16931 a prime number?
Yes. 16931 is divisible only by 1 and itself.
What are the factors of 16931?
1, 16931.
What is 16931 in binary?
100001000100011 (hexadecimal 4223, octal 41043).
What is the square root of 16931?
About 130.1192.
Is 16931 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16931?
16931 is the 1953rd prime number.