The number 55304
55304 is a composite number with 16 divisors. Its prime factorisation is × 31 × 223. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 223, 248, 446, 892, 1784, 6913, 13826, 27652, 55304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55304 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 55304 itself that is 52216, so 55304 is deficient (52216 is less than 55304). Euler's totient φ(55304) = 26640 numbers up to 55304 share no factor with it.
- 4
The digits of 55304 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55304 = 2^{3} \times 31 \times 223 \]55304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 26640 |
| Square | 3058532416 |
| Cube | 169149076734464 |
| Square root | 235.168025 (= 2√13826) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5304 × |
55304 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and four |
| Binary (base 2) | 1101100000001000 |
| Octal (base 8) | 154010 |
| Hexadecimal (base 16) | D808 |
| Base 3 | 2210212022 |
| As time | 55304 seconds = 15 h 21 min 44 s |
Is 55304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55304 ÷ 2 = 27652) | 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 (55304 ÷ 4 = 13826) | 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 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 (55304 ÷ 8 = 6913) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 55304 a prime number?
No. 55304 = × 31 × 223, so it is divisible by 2.
What are the factors of 55304?
1, 2, 4, 8, 31, 62, 124, 223, 248, 446, 892, 1784, 6913, 13826, 27652, 55304.
What is 55304 in binary?
1101100000001000 (hexadecimal D808, octal 154010).
What is the square root of 55304?
About 235.1680, exactly 2√13826.
Is 55304 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55304?
It is a composite number with 16 divisors.