The number 32982
32982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 239. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 239, 478, 717, 1434, 5497, 10994, 16491, 32982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32982 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 32982 itself that is 36138, so 32982 is abundant (36138 is more than 32982). Euler's totient φ(32982) = 10472 numbers up to 32982 share no factor with it.
- 4
The digits of 32982 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32982 = 2 \times 3 \times 23 \times 239 \]
32982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 10472 |
| Square | 1087812324 |
| Cube | 35878226070168 |
| Square root | 181.609471 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2982 × |
32982 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-two |
| Binary (base 2) | 1000000011010110 |
| Octal (base 8) | 100326 |
| Hexadecimal (base 16) | 80D6 |
| Base 3 | 1200020120 |
| As time | 32982 seconds = 9 h 9 min 42 s |
Is 32982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32982 ÷ 2 = 16491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32982 ÷ 3 = 10994) | 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 (32982 ÷ 6 = 5497) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | 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 32982 a prime number?
No. 32982 = 2 × 3 × 23 × 239, so it is divisible by 2.
What are the factors of 32982?
1, 2, 3, 6, 23, 46, 69, 138, 239, 478, 717, 1434, 5497, 10994, 16491, 32982.
What is 32982 in binary?
1000000011010110 (hexadecimal 80D6, octal 100326).
What is the square root of 32982?
About 181.6095.
Is 32982 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32982?
It is a composite number with 16 divisors.