The number 56704
56704 is a composite number with 16 divisors. Its prime factorisation is × 443. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 443, 886, 1772, 3544, 7088, 14176, 28352, 56704.
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How to work it out
- 1
56704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56704 is composite. Its prime factorisation is
- 3
The divisors add up to 113220; without 56704 itself that is 56516, so 56704 is deficient (56516 is less than 56704). Euler's totient φ(56704) = 28288 numbers up to 56704 share no factor with it.
- 4
The digits of 56704 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56704 = 2^{7} \times 443 \]56704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113220 |
| Euler totient φ(n) | 28288 |
| Square | 3215343616 |
| Cube | 182322844401664 |
| Square root | 238.126017 (= 8√886) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6704 × |
56704 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and four |
| Binary (base 2) | 1101110110000000 |
| Octal (base 8) | 156600 |
| Hexadecimal (base 16) | DD80 |
| Base 3 | 2212210011 |
| As time | 56704 seconds = 15 h 45 min 4 s |
Is 56704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56704 ÷ 2 = 28352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56704 ÷ 4 = 14176) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (56704 ÷ 8 = 7088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56704 a prime number?
No. 56704 = × 443, so it is divisible by 2.
What are the factors of 56704?
1, 2, 4, 8, 16, 32, 64, 128, 443, 886, 1772, 3544, 7088, 14176, 28352, 56704.
What is 56704 in binary?
1101110110000000 (hexadecimal DD80, octal 156600).
What is the square root of 56704?
About 238.1260, exactly 8√886.
Is 56704 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 56704?
It is a composite number with 16 divisors.