The number 13599
13599 is a composite number with 6 divisors. Its prime factorisation is × 1511. Divisors (6): 1, 3, 9, 1511, 4533, 13599.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13599 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13599 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 13599 itself that is 6057, so 13599 is deficient (6057 is less than 13599). Euler's totient φ(13599) = 9060 numbers up to 13599 share no factor with it.
- 4
The digits of 13599 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13599 = 3^{2} \times 1511 \]13599 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 9060 |
| Square | 184932801 |
| Cube | 2514901160799 |
| Square root | 116.614750 (= 3√1511) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3599 × |
13599 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and ninety-nine |
| Binary (base 2) | 11010100011111 |
| Octal (base 8) | 32437 |
| Hexadecimal (base 16) | 351F |
| Base 3 | 200122200 |
| As time | 13599 seconds = 3 h 46 min 39 s |
Is 13599 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 | Yes (13599 ÷ 3 = 4533) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (13599 ÷ 9 = 1511) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13599 a prime number?
No. 13599 = × 1511, so it is divisible by 3.
What are the factors of 13599?
1, 3, 9, 1511, 4533, 13599.
What is 13599 in binary?
11010100011111 (hexadecimal 351F, octal 32437).
What is the square root of 13599?
About 116.6148, exactly 3√1511.
Is 13599 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13599?
It is a composite number with 6 divisors.