The number 55736
55736 is a composite number with 8 divisors. Its prime factorisation is × 6967. Divisors (8): 1, 2, 4, 8, 6967, 13934, 27868, 55736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55736 is composite. Its prime factorisation is
- 3
The divisors add up to 104520; without 55736 itself that is 48784, so 55736 is deficient (48784 is less than 55736). Euler's totient φ(55736) = 27864 numbers up to 55736 share no factor with it.
- 4
The digits of 55736 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55736 = 2^{3} \times 6967 \]55736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104520 |
| Euler totient φ(n) | 27864 |
| Square | 3106501696 |
| Cube | 173143978528256 |
| Square root | 236.084731 (= 2√13934) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5736 × |
55736 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-six |
| Binary (base 2) | 1101100110111000 |
| Octal (base 8) | 154670 |
| Hexadecimal (base 16) | D9B8 |
| Base 3 | 2211110022 |
| As time | 55736 seconds = 15 h 28 min 56 s |
Is 55736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55736 ÷ 2 = 27868) | 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 (55736 ÷ 4 = 13934) | 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 | No (remainder 2) | 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 (55736 ÷ 8 = 6967) | 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 10) | 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 55736 a prime number?
No. 55736 = × 6967, so it is divisible by 2.
What are the factors of 55736?
1, 2, 4, 8, 6967, 13934, 27868, 55736.
What is 55736 in binary?
1101100110111000 (hexadecimal D9B8, octal 154670).
What is the square root of 55736?
About 236.0847, exactly 2√13934.
Is 55736 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55736?
It is a composite number with 8 divisors.