The number 14336
14336 is a composite number with 24 divisors. Its prime factorisation is × 7. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448 … 14336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14336 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14336 is composite. Its prime factorisation is
- 3
The divisors add up to 32760; without 14336 itself that is 18424, so 14336 is abundant (18424 is more than 14336). Euler's totient φ(14336) = 6144 numbers up to 14336 share no factor with it.
- 4
The digits of 14336 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14336 = 2^{11} \times 7 \]14336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32760 |
| Euler totient φ(n) | 6144 |
| Square | 205520896 |
| Cube | 2946347565056 |
| Square root | 119.733036 (= 32√14) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.4336 × |
14336 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and thirty-six |
| Binary (base 2) | 11100000000000 |
| Octal (base 8) | 34000 |
| Hexadecimal (base 16) | 3800 |
| Base 3 | 201122222 |
| As time | 14336 seconds = 3 h 58 min 56 s |
Is 14336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14336 ÷ 2 = 7168) | 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 (14336 ÷ 4 = 3584) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14336 ÷ 7 = 2048) | 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 (14336 ÷ 8 = 1792) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 14336 a prime number?
No. 14336 = × 7, so it is divisible by 2.
What are the factors of 14336?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 7168, 14336.
What is 14336 in binary?
11100000000000 (hexadecimal 3800, octal 34000).
What is the square root of 14336?
About 119.7330, exactly 32√14.
Is 14336 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 14336?
It is a composite number with 24 divisors.