The number 13399
13399 is a twin prime (13397 and 13399 are both prime) and the 1589th prime number. Its only divisors are 1 and 13399.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13399: a twin prime (13397 and 13399 are both prime); the 1589th prime number.
- 2
13399 is prime, so its only factors are 1 and 13399. It is the 1589th prime; the next prime is 13411 and the one before is 13397.
- 3
The divisors add up to 13400; without 13399 itself that is 1, so 13399 is deficient (1 is less than 13399). Euler's totient φ(13399) = 13398 numbers up to 13399 share no factor with it.
- 4
The digits of 13399 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 138 steps to reach 1.
13399 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13400 |
| Euler totient φ(n) | 13398 |
| Square | 179533201 |
| Cube | 2405565360199 |
| Square root | 115.754050 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3399 × |
13399 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-nine |
| Binary (base 2) | 11010001010111 |
| Octal (base 8) | 32127 |
| Hexadecimal (base 16) | 3457 |
| Base 3 | 200101021 |
| As time | 13399 seconds = 3 h 43 min 19 s |
Is 13399 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 7) | 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 1) | 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 13399 a prime number?
Yes. 13399 is divisible only by 1 and itself.
What are the factors of 13399?
1, 13399.
What is 13399 in binary?
11010001010111 (hexadecimal 3457, octal 32127).
What is the square root of 13399?
About 115.7540.
Is 13399 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13399?
13399 is a twin prime (13397 and 13399 are both prime); the 1589th prime number.