The number 55804
55804 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1993. Divisors (12): 1, 2, 4, 7, 14, 28, 1993, 3986, 7972, 13951, 27902, 55804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55804 is composite. Its prime factorisation is
- 3
The divisors add up to 111664; without 55804 itself that is 55860, so 55804 is abundant (55860 is more than 55804). Euler's totient φ(55804) = 23904 numbers up to 55804 share no factor with it.
- 4
The digits of 55804 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55804 = 2^{2} \times 7 \times 1993 \]55804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111664 |
| Euler totient φ(n) | 23904 |
| Square | 3114086416 |
| Cube | 173778478358464 |
| Square root | 236.228703 (= 2√13951) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5804 × |
55804 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and four |
| Binary (base 2) | 1101100111111100 |
| Octal (base 8) | 154774 |
| Hexadecimal (base 16) | D9FC |
| Base 3 | 2211112211 |
| As time | 55804 seconds = 15 h 30 min 4 s |
Is 55804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55804 ÷ 2 = 27902) | 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 (55804 ÷ 4 = 13951) | 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 | Yes (55804 ÷ 7 = 7972) | 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 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 1) | 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 55804 a prime number?
No. 55804 = × 7 × 1993, so it is divisible by 2.
What are the factors of 55804?
1, 2, 4, 7, 14, 28, 1993, 3986, 7972, 13951, 27902, 55804.
What is 55804 in binary?
1101100111111100 (hexadecimal D9FC, octal 154774).
What is the square root of 55804?
About 236.2287, exactly 2√13951.
Is 55804 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55804?
55804 is a happy number: repeatedly adding the squares of its digits reaches 1.