The number 8982
8982 is a composite number with 12 divisors. Its prime factorisation is 2 × × 499. Divisors (12): 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8982 is composite. Its prime factorisation is
- 3
The divisors add up to 19500; without 8982 itself that is 10518, so 8982 is abundant (10518 is more than 8982). Euler's totient φ(8982) = 2988 numbers up to 8982 share no factor with it.
- 4
The digits of 8982 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8982 = 2 \times 3^{2} \times 499 \]8982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19500 |
| Euler totient φ(n) | 2988 |
| Square | 80676324 |
| Cube | 724634742168 |
| Square root | 94.773414 (= 3√998) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 8.982 × |
8982 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and eighty-two |
| Binary (base 2) | 10001100010110 |
| Octal (base 8) | 21426 |
| Hexadecimal (base 16) | 2316 |
| Base 3 | 110022200 |
| As time | 8982 seconds = 2 h 29 min 42 s |
Is 8982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8982 ÷ 2 = 4491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8982 ÷ 3 = 2994) | 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 (8982 ÷ 6 = 1497) | 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 (8982 ÷ 9 = 998) | 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 6) | 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 8982 a prime number?
No. 8982 = 2 × × 499, so it is divisible by 2.
What are the factors of 8982?
1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982.
What is 8982 in binary?
10001100010110 (hexadecimal 2316, octal 21426).
What is the square root of 8982?
About 94.7734, exactly 3√998.
Is 8982 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8982?
It is a composite number with 12 divisors.