The number 13799
13799 is the 1632nd prime number. Its only divisors are 1 and 13799.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13799: the 1632nd prime number.
- 2
13799 is prime, so its only factors are 1 and 13799. It is the 1632nd prime; the next prime is 13807 and the one before is 13789.
- 3
The divisors add up to 13800; without 13799 itself that is 1, so 13799 is deficient (1 is less than 13799). Euler's totient φ(13799) = 13798 numbers up to 13799 share no factor with it.
- 4
The digits of 13799 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
13799 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13800 |
| Euler totient φ(n) | 13798 |
| Square | 190412401 |
| Cube | 2627500721399 |
| Square root | 117.469145 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3799 × |
13799 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-nine |
| Binary (base 2) | 11010111100111 |
| Octal (base 8) | 32747 |
| Hexadecimal (base 16) | 35E7 |
| Base 3 | 200221002 |
| As time | 13799 seconds = 3 h 49 min 59 s |
Is 13799 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13799 a prime number?
Yes. 13799 is divisible only by 1 and itself.
What are the factors of 13799?
1, 13799.
What is 13799 in binary?
11010111100111 (hexadecimal 35E7, octal 32747).
What is the square root of 13799?
About 117.4691.
Is 13799 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 13799?
13799 is the 1632nd prime number.