The number 55584
55584 is a composite number with 36 divisors. Its prime factorisation is × × 193. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 55584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55584 is composite. Its prime factorisation is
- 3
The divisors add up to 158886; without 55584 itself that is 103302, so 55584 is abundant (103302 is more than 55584). Euler's totient φ(55584) = 18432 numbers up to 55584 share no factor with it.
- 4
The digits of 55584 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55584 = 2^{5} \times 3^{2} \times 193 \]55584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 158886 |
| Euler totient φ(n) | 18432 |
| Square | 3089581056 |
| Cube | 171731273416704 |
| Square root | 235.762592 (= 12√386) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5584 × |
55584 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and eighty-four |
| Binary (base 2) | 1101100100100000 |
| Octal (base 8) | 154440 |
| Hexadecimal (base 16) | D920 |
| Base 3 | 2211020200 |
| As time | 55584 seconds = 15 h 26 min 24 s |
Is 55584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55584 ÷ 2 = 27792) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55584 ÷ 3 = 18528) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55584 ÷ 4 = 13896) | 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 | Yes (55584 ÷ 6 = 9264) | 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 (55584 ÷ 8 = 6948) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55584 ÷ 9 = 6176) | 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 | Yes (55584 ÷ 12 = 4632) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55584 a prime number?
No. 55584 = × × 193, so it is divisible by 2.
What are the factors of 55584?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 193, 288, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6176, 6948, 9264, 13896, 18528, 27792, 55584.
What is 55584 in binary?
1101100100100000 (hexadecimal D920, octal 154440).
What is the square root of 55584?
About 235.7626, exactly 12√386.
Is 55584 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55584?
It is a composite number with 36 divisors.