The number 56736
56736 is a composite number with 36 divisors. Its prime factorisation is × × 197. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 56736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56736 is composite. Its prime factorisation is
- 3
The divisors add up to 162162; without 56736 itself that is 105426, so 56736 is abundant (105426 is more than 56736). Euler's totient φ(56736) = 18816 numbers up to 56736 share no factor with it.
- 4
The digits of 56736 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56736 = 2^{5} \times 3^{2} \times 197 \]56736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 162162 |
| Euler totient φ(n) | 18816 |
| Square | 3218973696 |
| Cube | 182631691616256 |
| Square root | 238.193199 (= 12√394) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6736 × |
56736 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and thirty-six |
| Binary (base 2) | 1101110110100000 |
| Octal (base 8) | 156640 |
| Hexadecimal (base 16) | DDA0 |
| Base 3 | 2212211100 |
| As time | 56736 seconds = 15 h 45 min 36 s |
Is 56736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56736 ÷ 2 = 28368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56736 ÷ 3 = 18912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56736 ÷ 4 = 14184) | 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 (56736 ÷ 6 = 9456) | 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 (56736 ÷ 8 = 7092) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56736 ÷ 9 = 6304) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56736 ÷ 12 = 4728) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56736 a prime number?
No. 56736 = × × 197, so it is divisible by 2.
What are the factors of 56736?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 197, 288, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 6304, 7092, 9456, 14184, 18912, 28368, 56736.
What is 56736 in binary?
1101110110100000 (hexadecimal DDA0, octal 156640).
What is the square root of 56736?
About 238.1932, exactly 12√394.
Is 56736 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56736?
It is a composite number with 36 divisors.