The number 16979
16979 is a twin prime (16979 and 16981 are both prime) and the 1957th prime number. Its only divisors are 1 and 16979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16979: a twin prime (16979 and 16981 are both prime); the 1957th prime number.
- 2
16979 is prime, so its only factors are 1 and 16979. It is the 1957th prime; the next prime is 16981 and the one before is 16963.
- 3
The divisors add up to 16980; without 16979 itself that is 1, so 16979 is deficient (1 is less than 16979). Euler's totient φ(16979) = 16978 numbers up to 16979 share no factor with it.
- 4
The digits of 16979 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
16979 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16980 |
| Euler totient φ(n) | 16978 |
| Square | 288286441 |
| Cube | 4894815481739 |
| Square root | 130.303492 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6979 × |
16979 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and seventy-nine |
| Binary (base 2) | 100001001010011 |
| Octal (base 8) | 41123 |
| Hexadecimal (base 16) | 4253 |
| Base 3 | 212021212 |
| As time | 16979 seconds = 4 h 42 min 59 s |
Is 16979 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 4) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 16979 a prime number?
Yes. 16979 is divisible only by 1 and itself.
What are the factors of 16979?
1, 16979.
What is 16979 in binary?
100001001010011 (hexadecimal 4253, octal 41123).
What is the square root of 16979?
About 130.3035.
Is 16979 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 16979?
16979 is a twin prime (16979 and 16981 are both prime); the 1957th prime number.