The number 13339
13339 is a twin prime (13337 and 13339 are both prime) and the 1585th prime number. Its only divisors are 1 and 13339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13339: a twin prime (13337 and 13339 are both prime); the 1585th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13339 is prime, so its only factors are 1 and 13339. It is the 1585th prime; the next prime is 13367 and the one before is 13337.
- 3
The divisors add up to 13340; without 13339 itself that is 1, so 13339 is deficient (1 is less than 13339). Euler's totient φ(13339) = 13338 numbers up to 13339 share no factor with it.
- 4
The digits of 13339 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
13339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13340 |
| Euler totient φ(n) | 13338 |
| Square | 177928921 |
| Cube | 2373393877219 |
| Square root | 115.494589 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3339 × |
13339 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-nine |
| Binary (base 2) | 11010000011011 |
| Octal (base 8) | 32033 |
| Hexadecimal (base 16) | 341B |
| Base 3 | 200022001 |
| As time | 13339 seconds = 3 h 42 min 19 s |
Is 13339 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 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 1) | 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 7) | 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 13339 a prime number?
Yes. 13339 is divisible only by 1 and itself.
What are the factors of 13339?
1, 13339.
What is 13339 in binary?
11010000011011 (hexadecimal 341B, octal 32033).
What is the square root of 13339?
About 115.4946.
Is 13339 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13339?
13339 is a twin prime (13337 and 13339 are both prime); the 1585th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.