The number 56088
56088 is a composite number with 48 divisors. Its prime factorisation is × × 19 × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 41, 57, 72 … 56088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56088 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 56088 itself that is 107712, so 56088 is abundant (107712 is more than 56088). Euler's totient φ(56088) = 17280 numbers up to 56088 share no factor with it.
- 4
The digits of 56088 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
\[ 56088 = 2^{3} \times 3^{2} \times 19 \times 41 \]56088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 17280 |
| Square | 3145863744 |
| Cube | 176445205673472 |
| Square root | 236.829052 (= 6√1558) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6088 × |
56088 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and eighty-eight |
| Binary (base 2) | 1101101100011000 |
| Octal (base 8) | 155430 |
| Hexadecimal (base 16) | DB18 |
| Base 3 | 2211221100 |
| As time | 56088 seconds = 15 h 34 min 48 s |
Is 56088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56088 ÷ 2 = 28044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56088 ÷ 3 = 18696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56088 ÷ 4 = 14022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56088 ÷ 6 = 9348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (56088 ÷ 8 = 7011) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56088 ÷ 9 = 6232) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (56088 ÷ 12 = 4674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56088 a prime number?
No. 56088 = × × 19 × 41, so it is divisible by 2.
What are the factors of 56088?
1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 41, 57, 72, 76, 82, 114, 123, 152, 164, 171, 228, 246, 328, 342, 369, 456, 492, 684, 738, 779, 984, 1368, 1476, 1558, 2337, 2952, 3116, 4674, 6232, 7011, 9348, 14022, 18696, 28044, 56088.
What is 56088 in binary?
1101101100011000 (hexadecimal DB18, octal 155430).
What is the square root of 56088?
About 236.8291, exactly 6√1558.
Is 56088 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56088?
It is a composite number with 48 divisors.