The number 55080
55080 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 17. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27 … 55080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55080: a Harshad number: divisible by its digit sum 18.
- 2
55080 is composite. Its prime factorisation is
- 3
The divisors add up to 196020; without 55080 itself that is 140940, so 55080 is abundant (140940 is more than 55080). Euler's totient φ(55080) = 13824 numbers up to 55080 share no factor with it.
- 4
The digits of 55080 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55080 = 2^{3} \times 3^{4} \times 5 \times 17 \]55080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 196020 |
| Euler totient φ(n) | 13824 |
| Square | 3033806400 |
| Cube | 167102056512000 |
| Square root | 234.691287 (= 18√170) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.508 × |
55080 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eighty |
| Binary (base 2) | 1101011100101000 |
| Octal (base 8) | 153450 |
| Hexadecimal (base 16) | D728 |
| Base 3 | 2210120000 |
| As time | 55080 seconds = 15 h 18 min 0 s |
Is 55080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55080 ÷ 2 = 27540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55080 ÷ 3 = 18360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55080 ÷ 4 = 13770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55080 ÷ 5 = 11016) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55080 ÷ 6 = 9180) | 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 (55080 ÷ 8 = 6885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55080 ÷ 9 = 6120) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55080 ÷ 10 = 5508) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55080 ÷ 12 = 4590) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55080 a prime number?
No. 55080 = × × 5 × 17, so it is divisible by 2.
What are the factors of 55080?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 81, 85, 90, 102, 108, 120, 135, 136, 153, 162, 170, 180, 204, 216, 255, 270, 306, 324, 340, 360, 405, 408, 459, 510, 540, 612, 648, 680, 765, 810, 918, 1020, 1080, 1224, 1377, 1530, 1620, 1836, 2040, 2295, 2754, 3060, 3240, 3672, 4590, 5508, 6120, 6885, 9180, 11016, 13770, 18360, 27540, 55080.
What is 55080 in binary?
1101011100101000 (hexadecimal D728, octal 153450).
What is the square root of 55080?
About 234.6913, exactly 18√170.
Is 55080 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55080?
55080 is a Harshad number: divisible by its digit sum 18.