The number 13296
13296 is a composite number with 20 divisors. Its prime factorisation is × 3 × 277. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 277, 554, 831, 1108, 1662, 2216 … 13296.
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How to work it out
- 1
13296 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13296 is composite. Its prime factorisation is
- 3
The divisors add up to 34472; without 13296 itself that is 21176, so 13296 is abundant (21176 is more than 13296). Euler's totient φ(13296) = 4416 numbers up to 13296 share no factor with it.
- 4
The digits of 13296 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13296 = 2^{4} \times 3 \times 277 \]13296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 34472 |
| Euler totient φ(n) | 4416 |
| Square | 176783616 |
| Cube | 2350514958336 |
| Square root | 115.308282 (= 4√831) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3296 × |
13296 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and ninety-six |
| Binary (base 2) | 11001111110000 |
| Octal (base 8) | 31760 |
| Hexadecimal (base 16) | 33F0 |
| Base 3 | 200020110 |
| As time | 13296 seconds = 3 h 41 min 36 s |
Is 13296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13296 ÷ 2 = 6648) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13296 ÷ 3 = 4432) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13296 ÷ 4 = 3324) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13296 ÷ 6 = 2216) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (13296 ÷ 8 = 1662) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13296 ÷ 12 = 1108) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13296 a prime number?
No. 13296 = × 3 × 277, so it is divisible by 2.
What are the factors of 13296?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 277, 554, 831, 1108, 1662, 2216, 3324, 4432, 6648, 13296.
What is 13296 in binary?
11001111110000 (hexadecimal 33F0, octal 31760).
What is the square root of 13296?
About 115.3083, exactly 4√831.
Is 13296 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13296?
It is a composite number with 20 divisors.