The number 14184
14184 is a composite number with 24 divisors. Its prime factorisation is × × 197. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 197, 394, 591, 788 … 14184.
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How to work it out
- 1
What is special about 14184: a Harshad number: divisible by its digit sum 18.
- 2
14184 is composite. Its prime factorisation is
- 3
The divisors add up to 38610; without 14184 itself that is 24426, so 14184 is abundant (24426 is more than 14184). Euler's totient φ(14184) = 4704 numbers up to 14184 share no factor with it.
- 4
The digits of 14184 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14184 = 2^{3} \times 3^{2} \times 197 \]14184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 38610 |
| Euler totient φ(n) | 4704 |
| Square | 201185856 |
| Cube | 2853620181504 |
| Square root | 119.096599 (= 6√394) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4184 × |
14184 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and eighty-four |
| Binary (base 2) | 11011101101000 |
| Octal (base 8) | 33550 |
| Hexadecimal (base 16) | 3768 |
| Base 3 | 201110100 |
| As time | 14184 seconds = 3 h 56 min 24 s |
Is 14184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14184 ÷ 2 = 7092) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14184 ÷ 3 = 4728) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14184 ÷ 4 = 3546) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14184 ÷ 6 = 2364) | 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 (14184 ÷ 8 = 1773) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14184 ÷ 9 = 1576) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14184 ÷ 12 = 1182) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14184 a prime number?
No. 14184 = × × 197, so it is divisible by 2.
What are the factors of 14184?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 197, 394, 591, 788, 1182, 1576, 1773, 2364, 3546, 4728, 7092, 14184.
What is 14184 in binary?
11011101101000 (hexadecimal 3768, octal 33550).
What is the square root of 14184?
About 119.0966, exactly 6√394.
Is 14184 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14184?
14184 is a Harshad number: divisible by its digit sum 18.