The number 13308
13308 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1109. Divisors (12): 1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654, 13308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13308 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13308 is composite. Its prime factorisation is
- 3
The divisors add up to 31080; without 13308 itself that is 17772, so 13308 is abundant (17772 is more than 13308). Euler's totient φ(13308) = 4432 numbers up to 13308 share no factor with it.
- 4
The digits of 13308 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13308 = 2^{2} \times 3 \times 1109 \]13308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31080 |
| Euler totient φ(n) | 4432 |
| Square | 177102864 |
| Cube | 2356884914112 |
| Square root | 115.360305 (= 2√3327) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3308 × |
13308 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eight |
| Binary (base 2) | 11001111111100 |
| Octal (base 8) | 31774 |
| Hexadecimal (base 16) | 33FC |
| Base 3 | 200020220 |
| As time | 13308 seconds = 3 h 41 min 48 s |
Is 13308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13308 ÷ 2 = 6654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13308 ÷ 3 = 4436) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13308 ÷ 4 = 3327) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13308 ÷ 6 = 2218) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13308 ÷ 12 = 1109) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13308 a prime number?
No. 13308 = × 3 × 1109, so it is divisible by 2.
What are the factors of 13308?
1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654, 13308.
What is 13308 in binary?
11001111111100 (hexadecimal 33FC, octal 31774).
What is the square root of 13308?
About 115.3603, exactly 2√3327.
Is 13308 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13308?
It is a composite number with 12 divisors.