The number 55180
55180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 31 × 89. Divisors (24): 1, 2, 4, 5, 10, 20, 31, 62, 89, 124, 155, 178, 310, 356, 445, 620 … 55180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55180 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 55180 itself that is 65780, so 55180 is abundant (65780 is more than 55180). Euler's totient φ(55180) = 21120 numbers up to 55180 share no factor with it.
- 4
The digits of 55180 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55180 = 2^{2} \times 5 \times 31 \times 89 \]55180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 21120 |
| Square | 3044832400 |
| Cube | 168013851832000 |
| Square root | 234.904236 (= 2√13795) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.518 × |
55180 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and eighty |
| Binary (base 2) | 1101011110001100 |
| Octal (base 8) | 153614 |
| Hexadecimal (base 16) | D78C |
| Base 3 | 2210200201 |
| As time | 55180 seconds = 15 h 19 min 40 s |
Is 55180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55180 ÷ 2 = 27590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55180 ÷ 4 = 13795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55180 ÷ 5 = 11036) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55180 ÷ 10 = 5518) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55180 a prime number?
No. 55180 = × 5 × 31 × 89, so it is divisible by 2.
What are the factors of 55180?
1, 2, 4, 5, 10, 20, 31, 62, 89, 124, 155, 178, 310, 356, 445, 620, 890, 1780, 2759, 5518, 11036, 13795, 27590, 55180.
What is 55180 in binary?
1101011110001100 (hexadecimal D78C, octal 153614).
What is the square root of 55180?
About 234.9042, exactly 2√13795.
Is 55180 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55180?
It is a composite number with 24 divisors.