The number 16339
16339 is the 1895th prime number. Its only divisors are 1 and 16339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16339: the 1895th prime number.
- 2
16339 is prime, so its only factors are 1 and 16339. It is the 1895th prime; the next prime is 16349 and the one before is 16333.
- 3
The divisors add up to 16340; without 16339 itself that is 1, so 16339 is deficient (1 is less than 16339). Euler's totient φ(16339) = 16338 numbers up to 16339 share no factor with it.
- 4
The digits of 16339 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
16339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16340 |
| Euler totient φ(n) | 16338 |
| Square | 266962921 |
| Cube | 4361907166219 |
| Square root | 127.824098 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6339 × |
16339 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and thirty-nine |
| Binary (base 2) | 11111111010011 |
| Octal (base 8) | 37723 |
| Hexadecimal (base 16) | 3FD3 |
| Base 3 | 211102011 |
| As time | 16339 seconds = 4 h 32 min 19 s |
Is 16339 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 16339 a prime number?
Yes. 16339 is divisible only by 1 and itself.
What are the factors of 16339?
1, 16339.
What is 16339 in binary?
11111111010011 (hexadecimal 3FD3, octal 37723).
What is the square root of 16339?
About 127.8241.
Is 16339 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16339?
16339 is the 1895th prime number.