The number 14112
14112 is a composite number with 54 divisors. Its prime factorisation is × × . Divisors (54): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32 … 14112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
14112 is composite. Its prime factorisation is
- 3
The divisors add up to 46683; without 14112 itself that is 32571, so 14112 is abundant (32571 is more than 14112). Euler's totient φ(14112) = 4032 numbers up to 14112 share no factor with it.
- 4
The digits of 14112 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14112 = 2^{5} \times 3^{2} \times 7^{2} \]14112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 46683 |
| Euler totient φ(n) | 4032 |
| Square | 199148544 |
| Cube | 2810384252928 |
| Square root | 118.793939 (= 84√2) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4112 × |
14112 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and twelve |
| Binary (base 2) | 11011100100000 |
| Octal (base 8) | 33440 |
| Hexadecimal (base 16) | 3720 |
| Base 3 | 201100200 |
| As time | 14112 seconds = 3 h 55 min 12 s |
Is 14112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14112 ÷ 2 = 7056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14112 ÷ 3 = 4704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14112 ÷ 4 = 3528) | 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 | Yes (14112 ÷ 6 = 2352) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14112 ÷ 7 = 2016) | 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 (14112 ÷ 8 = 1764) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14112 ÷ 9 = 1568) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14112 ÷ 12 = 1176) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14112 a prime number?
No. 14112 = × × , so it is divisible by 2.
What are the factors of 14112?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 72, 84, 96, 98, 112, 126, 144, 147, 168, 196, 224, 252, 288, 294, 336, 392, 441, 504, 588, 672, 784, 882, 1008, 1176, 1568, 1764, 2016, 2352, 3528, 4704, 7056, 14112.
What is 14112 in binary?
11011100100000 (hexadecimal 3720, octal 33440).
What is the square root of 14112?
About 118.7939, exactly 84√2.
Is 14112 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 14112?
14112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.