The number 55088
55088 is a composite number with 20 divisors. Its prime factorisation is × 11 × 313. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 313, 626, 1252, 2504, 3443, 5008 … 55088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55088 is composite. Its prime factorisation is
- 3
The divisors add up to 116808; without 55088 itself that is 61720, so 55088 is abundant (61720 is more than 55088). Euler's totient φ(55088) = 24960 numbers up to 55088 share no factor with it.
- 4
The digits of 55088 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55088 = 2^{4} \times 11 \times 313 \]55088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 116808 |
| Euler totient φ(n) | 24960 |
| Square | 3034687744 |
| Cube | 167174878441472 |
| Square root | 234.708330 (= 4√3443) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5088 × |
55088 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eighty-eight |
| Binary (base 2) | 1101011100110000 |
| Octal (base 8) | 153460 |
| Hexadecimal (base 16) | D730 |
| Base 3 | 2210120022 |
| As time | 55088 seconds = 15 h 18 min 8 s |
Is 55088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55088 ÷ 2 = 27544) | 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 (55088 ÷ 4 = 13772) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 (55088 ÷ 8 = 6886) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55088 ÷ 11 = 5008) | 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 55088 a prime number?
No. 55088 = × 11 × 313, so it is divisible by 2.
What are the factors of 55088?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 313, 626, 1252, 2504, 3443, 5008, 6886, 13772, 27544, 55088.
What is 55088 in binary?
1101011100110000 (hexadecimal D730, octal 153460).
What is the square root of 55088?
About 234.7083, exactly 4√3443.
Is 55088 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55088?
It is a composite number with 20 divisors.