The number 14736
14736 is a composite number with 20 divisors. Its prime factorisation is × 3 × 307. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 307, 614, 921, 1228, 1842, 2456 … 14736.
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How to work it out
- 1
14736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14736 is composite. Its prime factorisation is
- 3
The divisors add up to 38192; without 14736 itself that is 23456, so 14736 is abundant (23456 is more than 14736). Euler's totient φ(14736) = 4896 numbers up to 14736 share no factor with it.
- 4
The digits of 14736 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14736 = 2^{4} \times 3 \times 307 \]14736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 38192 |
| Euler totient φ(n) | 4896 |
| Square | 217149696 |
| Cube | 3199917920256 |
| Square root | 121.391927 (= 4√921) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4736 × |
14736 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and thirty-six |
| Binary (base 2) | 11100110010000 |
| Octal (base 8) | 34620 |
| Hexadecimal (base 16) | 3990 |
| Base 3 | 202012210 |
| As time | 14736 seconds = 4 h 5 min 36 s |
Is 14736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14736 ÷ 2 = 7368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14736 ÷ 3 = 4912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14736 ÷ 4 = 3684) | 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 (14736 ÷ 6 = 2456) | 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 | Yes (14736 ÷ 8 = 1842) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14736 ÷ 12 = 1228) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14736 a prime number?
No. 14736 = × 3 × 307, so it is divisible by 2.
What are the factors of 14736?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 14736.
What is 14736 in binary?
11100110010000 (hexadecimal 3990, octal 34620).
What is the square root of 14736?
About 121.3919, exactly 4√921.
Is 14736 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14736?
It is a composite number with 20 divisors.