The number 56804
56804 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1291. Divisors (12): 1, 2, 4, 11, 22, 44, 1291, 2582, 5164, 14201, 28402, 56804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56804 is composite. Its prime factorisation is
- 3
The divisors add up to 108528; without 56804 itself that is 51724, so 56804 is deficient (51724 is less than 56804). Euler's totient φ(56804) = 25800 numbers up to 56804 share no factor with it.
- 4
The digits of 56804 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56804 = 2^{2} \times 11 \times 1291 \]56804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108528 |
| Euler totient φ(n) | 25800 |
| Square | 3226694416 |
| Cube | 183289149606464 |
| Square root | 238.335897 (= 2√14201) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6804 × |
56804 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand eight hundred and four |
| Binary (base 2) | 1101110111100100 |
| Octal (base 8) | 156744 |
| Hexadecimal (base 16) | DDE4 |
| Base 3 | 2212220212 |
| As time | 56804 seconds = 15 h 46 min 44 s |
Is 56804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56804 ÷ 2 = 28402) | 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 (56804 ÷ 4 = 14201) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (56804 ÷ 11 = 5164) | 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 56804 a prime number?
No. 56804 = × 11 × 1291, so it is divisible by 2.
What are the factors of 56804?
1, 2, 4, 11, 22, 44, 1291, 2582, 5164, 14201, 28402, 56804.
What is 56804 in binary?
1101110111100100 (hexadecimal DDE4, octal 156744).
What is the square root of 56804?
About 238.3359, exactly 2√14201.
Is 56804 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 56804?
It is a composite number with 12 divisors.