The number 14022
14022 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 41. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 41, 57, 82, 114, 123, 171, 246, 342 … 14022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14022: a Harshad number: divisible by its digit sum 9.
- 2
14022 is composite. Its prime factorisation is
- 3
The divisors add up to 32760; without 14022 itself that is 18738, so 14022 is abundant (18738 is more than 14022). Euler's totient φ(14022) = 4320 numbers up to 14022 share no factor with it.
- 4
The digits of 14022 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14022 = 2 \times 3^{2} \times 19 \times 41 \]14022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32760 |
| Euler totient φ(n) | 4320 |
| Square | 196616484 |
| Cube | 2756956338648 |
| Square root | 118.414526 (= 3√1558) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4022 × |
14022 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty-two |
| Binary (base 2) | 11011011000110 |
| Octal (base 8) | 33306 |
| Hexadecimal (base 16) | 36C6 |
| Base 3 | 201020100 |
| As time | 14022 seconds = 3 h 53 min 42 s |
Is 14022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14022 ÷ 2 = 7011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14022 ÷ 3 = 4674) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (14022 ÷ 6 = 2337) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (14022 ÷ 9 = 1558) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14022 a prime number?
No. 14022 = 2 × × 19 × 41, so it is divisible by 2.
What are the factors of 14022?
1, 2, 3, 6, 9, 18, 19, 38, 41, 57, 82, 114, 123, 171, 246, 342, 369, 738, 779, 1558, 2337, 4674, 7011, 14022.
What is 14022 in binary?
11011011000110 (hexadecimal 36C6, octal 33306).
What is the square root of 14022?
About 118.4145, exactly 3√1558.
Is 14022 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 14022?
14022 is a Harshad number: divisible by its digit sum 9.