The number 55884
55884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4657. Divisors (12): 1, 2, 3, 4, 6, 12, 4657, 9314, 13971, 18628, 27942, 55884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55884 is composite. Its prime factorisation is
- 3
The divisors add up to 130424; without 55884 itself that is 74540, so 55884 is abundant (74540 is more than 55884). Euler's totient φ(55884) = 18624 numbers up to 55884 share no factor with it.
- 4
The digits of 55884 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55884 = 2^{2} \times 3 \times 4657 \]55884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 130424 |
| Euler totient φ(n) | 18624 |
| Square | 3123021456 |
| Cube | 174526931047104 |
| Square root | 236.397970 (= 2√13971) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5884 × |
55884 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and eighty-four |
| Binary (base 2) | 1101101001001100 |
| Octal (base 8) | 155114 |
| Hexadecimal (base 16) | DA4C |
| Base 3 | 2211122210 |
| As time | 55884 seconds = 15 h 31 min 24 s |
Is 55884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55884 ÷ 2 = 27942) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55884 ÷ 3 = 18628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55884 ÷ 4 = 13971) | 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 (55884 ÷ 6 = 9314) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55884 ÷ 12 = 4657) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55884 a prime number?
No. 55884 = × 3 × 4657, so it is divisible by 2.
What are the factors of 55884?
1, 2, 3, 4, 6, 12, 4657, 9314, 13971, 18628, 27942, 55884.
What is 55884 in binary?
1101101001001100 (hexadecimal DA4C, octal 155114).
What is the square root of 55884?
About 236.3980, exactly 2√13971.
Is 55884 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55884?
It is a composite number with 12 divisors.