The number 56808
56808 is a composite number with 32 divisors. Its prime factorisation is × × 263. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 56808.
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How to work it out
- 1
What is special about 56808: a Harshad number: divisible by its digit sum 27.
- 2
56808 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 56808 itself that is 101592, so 56808 is abundant (101592 is more than 56808). Euler's totient φ(56808) = 18864 numbers up to 56808 share no factor with it.
- 4
The digits of 56808 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56808 = 2^{3} \times 3^{3} \times 263 \]56808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 18864 |
| Square | 3227148864 |
| Cube | 183327872666112 |
| Square root | 238.344289 (= 6√1578) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.6808 × |
56808 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand eight hundred and eight |
| Binary (base 2) | 1101110111101000 |
| Octal (base 8) | 156750 |
| Hexadecimal (base 16) | DDE8 |
| Base 3 | 2212221000 |
| As time | 56808 seconds = 15 h 46 min 48 s |
Is 56808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56808 ÷ 2 = 28404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56808 ÷ 3 = 18936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56808 ÷ 4 = 14202) | 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 (56808 ÷ 6 = 9468) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (56808 ÷ 8 = 7101) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56808 ÷ 9 = 6312) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56808 ÷ 12 = 4734) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56808 a prime number?
No. 56808 = × × 263, so it is divisible by 2.
What are the factors of 56808?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 263, 526, 789, 1052, 1578, 2104, 2367, 3156, 4734, 6312, 7101, 9468, 14202, 18936, 28404, 56808.
What is 56808 in binary?
1101110111101000 (hexadecimal DDE8, octal 156750).
What is the square root of 56808?
About 238.3443, exactly 6√1578.
Is 56808 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56808?
56808 is a Harshad number: divisible by its digit sum 27.