The number 18112
18112 is a composite number with 14 divisors. Its prime factorisation is × 283. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 283, 566, 1132, 2264, 4528, 9056, 18112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18112 is composite. Its prime factorisation is
- 3
The divisors add up to 36068; without 18112 itself that is 17956, so 18112 is deficient (17956 is less than 18112). Euler's totient φ(18112) = 9024 numbers up to 18112 share no factor with it.
- 4
The digits of 18112 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18112 = 2^{6} \times 283 \]18112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 36068 |
| Euler totient φ(n) | 9024 |
| Square | 328044544 |
| Cube | 5941542780928 |
| Square root | 134.580831 (= 8√283) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8112 × |
18112 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and twelve |
| Binary (base 2) | 100011011000000 |
| Octal (base 8) | 43300 |
| Hexadecimal (base 16) | 46C0 |
| Base 3 | 220211211 |
| As time | 18112 seconds = 5 h 1 min 52 s |
Is 18112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18112 ÷ 2 = 9056) | 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 (18112 ÷ 4 = 4528) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (18112 ÷ 8 = 2264) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 18112 a prime number?
No. 18112 = × 283, so it is divisible by 2.
What are the factors of 18112?
1, 2, 4, 8, 16, 32, 64, 283, 566, 1132, 2264, 4528, 9056, 18112.
What is 18112 in binary?
100011011000000 (hexadecimal 46C0, octal 43300).
What is the square root of 18112?
About 134.5808, exactly 8√283.
Is 18112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18112?
It is a composite number with 14 divisors.