The number 16112
16112 is a composite number with 20 divisors. Its prime factorisation is × 19 × 53. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 53, 76, 106, 152, 212, 304, 424, 848, 1007 … 16112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16112 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 16112 itself that is 17368, so 16112 is abundant (17368 is more than 16112). Euler's totient φ(16112) = 7488 numbers up to 16112 share no factor with it.
- 4
The digits of 16112 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16112 = 2^{4} \times 19 \times 53 \]16112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 7488 |
| Square | 259596544 |
| Cube | 4182619516928 |
| Square root | 126.933053 (= 4√1007) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6112 × |
16112 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and twelve |
| Binary (base 2) | 11111011110000 |
| Octal (base 8) | 37360 |
| Hexadecimal (base 16) | 3EF0 |
| Base 3 | 211002202 |
| As time | 16112 seconds = 4 h 28 min 32 s |
Is 16112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16112 ÷ 2 = 8056) | 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 (16112 ÷ 4 = 4028) | 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 5) | 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 (16112 ÷ 8 = 2014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 16112 a prime number?
No. 16112 = × 19 × 53, so it is divisible by 2.
What are the factors of 16112?
1, 2, 4, 8, 16, 19, 38, 53, 76, 106, 152, 212, 304, 424, 848, 1007, 2014, 4028, 8056, 16112.
What is 16112 in binary?
11111011110000 (hexadecimal 3EF0, octal 37360).
What is the square root of 16112?
About 126.9331, exactly 4√1007.
Is 16112 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 16112?
It is a composite number with 20 divisors.