The number 13304
13304 is a composite number with 8 divisors. Its prime factorisation is × 1663. Divisors (8): 1, 2, 4, 8, 1663, 3326, 6652, 13304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13304 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 13304 itself that is 11656, so 13304 is deficient (11656 is less than 13304). Euler's totient φ(13304) = 6648 numbers up to 13304 share no factor with it.
- 4
The digits of 13304 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13304 = 2^{3} \times 1663 \]13304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 6648 |
| Square | 176996416 |
| Cube | 2354760318464 |
| Square root | 115.342967 (= 2√3326) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3304 × |
13304 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and four |
| Binary (base 2) | 11001111111000 |
| Octal (base 8) | 31770 |
| Hexadecimal (base 16) | 33F8 |
| Base 3 | 200020202 |
| As time | 13304 seconds = 3 h 41 min 44 s |
Is 13304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13304 ÷ 2 = 6652) | 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 | Yes (13304 ÷ 4 = 3326) | 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 2) | 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 | Yes (13304 ÷ 8 = 1663) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13304 a prime number?
No. 13304 = × 1663, so it is divisible by 2.
What are the factors of 13304?
1, 2, 4, 8, 1663, 3326, 6652, 13304.
What is 13304 in binary?
11001111111000 (hexadecimal 33F8, octal 31770).
What is the square root of 13304?
About 115.3430, exactly 2√3326.
Is 13304 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13304?
It is a composite number with 8 divisors.