The number 55110
55110 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 167. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 167 … 55110.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55110 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55110 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 55110 itself that is 90042, so 55110 is abundant (90042 is more than 55110). Euler's totient φ(55110) = 13280 numbers up to 55110 share no factor with it.
- 4
The digits of 55110 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55110 = 2 \times 3 \times 5 \times 11 \times 167 \]
55110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 13280 |
| Square | 3037112100 |
| Cube | 167375247831000 |
| Square root | 234.755192 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.511 × |
55110 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and ten |
| Binary (base 2) | 1101011101000110 |
| Octal (base 8) | 153506 |
| Hexadecimal (base 16) | D746 |
| Base 3 | 2210121010 |
| As time | 55110 seconds = 15 h 18 min 30 s |
Is 55110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55110 ÷ 2 = 27555) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55110 ÷ 3 = 18370) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55110 ÷ 5 = 11022) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55110 ÷ 6 = 9185) | 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 6) | 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 | Yes (55110 ÷ 10 = 5511) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55110 ÷ 11 = 5010) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55110 a prime number?
No. 55110 = 2 × 3 × 5 × 11 × 167, so it is divisible by 2.
What are the factors of 55110?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 167, 330, 334, 501, 835, 1002, 1670, 1837, 2505, 3674, 5010, 5511, 9185, 11022, 18370, 27555, 55110.
What is 55110 in binary?
1101011101000110 (hexadecimal D746, octal 153506).
What is the square root of 55110?
About 234.7552.
Is 55110 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 55110?
It is a composite number with 32 divisors.