The number 55112
55112 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 83, 166, 332, 664, 6889, 13778, 27556, 55112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55112 is composite. Its prime factorisation is
- 3
The divisors add up to 104595; without 55112 itself that is 49483, so 55112 is deficient (49483 is less than 55112). Euler's totient φ(55112) = 27224 numbers up to 55112 share no factor with it.
- 4
The digits of 55112 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55112 = 2^{3} \times 83^{2} \]55112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104595 |
| Euler totient φ(n) | 27224 |
| Square | 3037332544 |
| Cube | 167393471164928 |
| Square root | 234.759451 (= 166√2) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5112 × |
55112 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and twelve |
| Binary (base 2) | 1101011101001000 |
| Octal (base 8) | 153510 |
| Hexadecimal (base 16) | D748 |
| Base 3 | 2210121012 |
| As time | 55112 seconds = 15 h 18 min 32 s |
Is 55112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55112 ÷ 2 = 27556) | 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 (55112 ÷ 4 = 13778) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | 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 (55112 ÷ 8 = 6889) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 55112 a prime number?
No. 55112 = × , so it is divisible by 2.
What are the factors of 55112?
1, 2, 4, 8, 83, 166, 332, 664, 6889, 13778, 27556, 55112.
What is 55112 in binary?
1101011101001000 (hexadecimal D748, octal 153510).
What is the square root of 55112?
About 234.7595, exactly 166√2.
Is 55112 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 55112?
It is a composite number with 12 divisors.