The number 16729
16729 is the 1934th prime number. Its only divisors are 1 and 16729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16729: the 1934th prime number.
- 2
16729 is prime, so its only factors are 1 and 16729. It is the 1934th prime; the next prime is 16741 and the one before is 16703.
- 3
The divisors add up to 16730; without 16729 itself that is 1, so 16729 is deficient (1 is less than 16729). Euler's totient φ(16729) = 16728 numbers up to 16729 share no factor with it.
- 4
The digits of 16729 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
16729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16730 |
| Euler totient φ(n) | 16728 |
| Square | 279859441 |
| Cube | 4681768588489 |
| Square root | 129.340636 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6729 × |
16729 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty-nine |
| Binary (base 2) | 100000101011001 |
| Octal (base 8) | 40531 |
| Hexadecimal (base 16) | 4159 |
| Base 3 | 211221121 |
| As time | 16729 seconds = 4 h 38 min 49 s |
Is 16729 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16729 a prime number?
Yes. 16729 is divisible only by 1 and itself.
What are the factors of 16729?
1, 16729.
What is 16729 in binary?
100000101011001 (hexadecimal 4159, octal 40531).
What is the square root of 16729?
About 129.3406.
Is 16729 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16729?
16729 is the 1934th prime number.