The number 56688
56688 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1181. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1181, 2362, 3543, 4724, 7086, 9448 … 56688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56688 is composite. Its prime factorisation is
- 3
The divisors add up to 146568; without 56688 itself that is 89880, so 56688 is abundant (89880 is more than 56688). Euler's totient φ(56688) = 18880 numbers up to 56688 share no factor with it.
- 4
The digits of 56688 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56688 = 2^{4} \times 3 \times 1181 \]56688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 146568 |
| Euler totient φ(n) | 18880 |
| Square | 3213529344 |
| Cube | 182168551452672 |
| Square root | 238.092419 (= 4√3543) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6688 × |
56688 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand six hundred and eighty-eight |
| Binary (base 2) | 1101110101110000 |
| Octal (base 8) | 156560 |
| Hexadecimal (base 16) | DD70 |
| Base 3 | 2212202120 |
| As time | 56688 seconds = 15 h 44 min 48 s |
Is 56688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56688 ÷ 2 = 28344) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56688 ÷ 3 = 18896) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56688 ÷ 4 = 14172) | 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 (56688 ÷ 6 = 9448) | 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 (56688 ÷ 8 = 7086) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56688 ÷ 12 = 4724) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56688 a prime number?
No. 56688 = × 3 × 1181, so it is divisible by 2.
What are the factors of 56688?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1181, 2362, 3543, 4724, 7086, 9448, 14172, 18896, 28344, 56688.
What is 56688 in binary?
1101110101110000 (hexadecimal DD70, octal 156560).
What is the square root of 56688?
About 238.0924, exactly 4√3543.
Is 56688 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 56688?
It is a composite number with 20 divisors.