The number 14016
14016 is a composite number with 28 divisors. Its prime factorisation is × 3 × 73. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 146, 192 … 14016.
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How to work it out
- 1
What is special about 14016: a Harshad number: divisible by its digit sum 12.
- 2
14016 is composite. Its prime factorisation is
- 3
The divisors add up to 37592; without 14016 itself that is 23576, so 14016 is abundant (23576 is more than 14016). Euler's totient φ(14016) = 4608 numbers up to 14016 share no factor with it.
- 4
The digits of 14016 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14016 = 2^{6} \times 3 \times 73 \]14016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 37592 |
| Euler totient φ(n) | 4608 |
| Square | 196448256 |
| Cube | 2753418756096 |
| Square root | 118.389189 (= 8√219) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4016 × |
14016 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and sixteen |
| Binary (base 2) | 11011011000000 |
| Octal (base 8) | 33300 |
| Hexadecimal (base 16) | 36C0 |
| Base 3 | 201020010 |
| As time | 14016 seconds = 3 h 53 min 36 s |
Is 14016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14016 ÷ 2 = 7008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14016 ÷ 3 = 4672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14016 ÷ 4 = 3504) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14016 ÷ 6 = 2336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (14016 ÷ 8 = 1752) | 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 | No (remainder 6) | 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 | Yes (14016 ÷ 12 = 1168) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14016 a prime number?
No. 14016 = × 3 × 73, so it is divisible by 2.
What are the factors of 14016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 146, 192, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 4672, 7008, 14016.
What is 14016 in binary?
11011011000000 (hexadecimal 36C0, octal 33300).
What is the square root of 14016?
About 118.3892, exactly 8√219.
Is 14016 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 14016?
14016 is a Harshad number: divisible by its digit sum 12.