The number 14382
14382 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 47. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 47, 51, 94, 102, 141, 153, 282, 306 … 14382.
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How to work it out
- 1
What is special about 14382: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
14382 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 14382 itself that is 19314, so 14382 is abundant (19314 is more than 14382). Euler's totient φ(14382) = 4416 numbers up to 14382 share no factor with it.
- 4
The digits of 14382 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14382 = 2 \times 3^{2} \times 17 \times 47 \]14382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 4416 |
| Square | 206841924 |
| Cube | 2974800550968 |
| Square root | 119.924977 (= 3√1598) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4382 × |
14382 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand three hundred and eighty-two |
| Binary (base 2) | 11100000101110 |
| Octal (base 8) | 34056 |
| Hexadecimal (base 16) | 382E |
| Base 3 | 201201200 |
| As time | 14382 seconds = 3 h 59 min 42 s |
Is 14382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14382 ÷ 2 = 7191) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14382 ÷ 3 = 4794) | 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 (14382 ÷ 6 = 2397) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (14382 ÷ 9 = 1598) | 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 5) | 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 14382 a prime number?
No. 14382 = 2 × × 17 × 47, so it is divisible by 2.
What are the factors of 14382?
1, 2, 3, 6, 9, 17, 18, 34, 47, 51, 94, 102, 141, 153, 282, 306, 423, 799, 846, 1598, 2397, 4794, 7191, 14382.
What is 14382 in binary?
11100000101110 (hexadecimal 382E, octal 34056).
What is the square root of 14382?
About 119.9250, exactly 3√1598.
Is 14382 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 14382?
14382 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.