The number 14982
14982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 227. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 227, 454, 681, 1362, 2497, 4994, 7491, 14982.
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How to work it out
- 1
14982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14982 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 14982 itself that is 17850, so 14982 is abundant (17850 is more than 14982). Euler's totient φ(14982) = 4520 numbers up to 14982 share no factor with it.
- 4
The digits of 14982 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14982 = 2 \times 3 \times 11 \times 227 \]
14982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 4520 |
| Square | 224460324 |
| Cube | 3362864574168 |
| Square root | 122.400980 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.4982 × |
14982 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and eighty-two |
| Binary (base 2) | 11101010000110 |
| Octal (base 8) | 35206 |
| Hexadecimal (base 16) | 3A86 |
| Base 3 | 202112220 |
| As time | 14982 seconds = 4 h 9 min 42 s |
Is 14982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14982 ÷ 2 = 7491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14982 ÷ 3 = 4994) | 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 (14982 ÷ 6 = 2497) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (14982 ÷ 11 = 1362) | 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 14982 a prime number?
No. 14982 = 2 × 3 × 11 × 227, so it is divisible by 2.
What are the factors of 14982?
1, 2, 3, 6, 11, 22, 33, 66, 227, 454, 681, 1362, 2497, 4994, 7491, 14982.
What is 14982 in binary?
11101010000110 (hexadecimal 3A86, octal 35206).
What is the square root of 14982?
About 122.4010.
Is 14982 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14982?
It is a composite number with 16 divisors.