The number 16829
16829 is a twin prime (16829 and 16831 are both prime) and the 1942nd prime number. Its only divisors are 1 and 16829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16829: a twin prime (16829 and 16831 are both prime); the 1942nd prime number.
- 2
16829 is prime, so its only factors are 1 and 16829. It is the 1942nd prime; the next prime is 16831 and the one before is 16823.
- 3
The divisors add up to 16830; without 16829 itself that is 1, so 16829 is deficient (1 is less than 16829). Euler's totient φ(16829) = 16828 numbers up to 16829 share no factor with it.
- 4
The digits of 16829 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
16829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16830 |
| Euler totient φ(n) | 16828 |
| Square | 283215241 |
| Cube | 4766229290789 |
| Square root | 129.726636 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6829 × |
16829 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-nine |
| Binary (base 2) | 100000110111101 |
| Octal (base 8) | 40675 |
| Hexadecimal (base 16) | 41BD |
| Base 3 | 212002022 |
| As time | 16829 seconds = 4 h 40 min 29 s |
Is 16829 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16829 a prime number?
Yes. 16829 is divisible only by 1 and itself.
What are the factors of 16829?
1, 16829.
What is 16829 in binary?
100000110111101 (hexadecimal 41BD, octal 40675).
What is the square root of 16829?
About 129.7266.
Is 16829 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16829?
16829 is a twin prime (16829 and 16831 are both prime); the 1942nd prime number.