The number 80982
80982 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 409. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 409, 818, 1227, 2454 … 80982.
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How to work it out
- 1
80982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80982 is composite. Its prime factorisation is
- 3
The divisors add up to 191880; without 80982 itself that is 110898, so 80982 is abundant (110898 is more than 80982). Euler's totient φ(80982) = 24480 numbers up to 80982 share no factor with it.
- 4
The digits of 80982 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80982 = 2 \times 3^{2} \times 11 \times 409 \]80982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 191880 |
| Euler totient φ(n) | 24480 |
| Square | 6558084324 |
| Cube | 531086784726168 |
| Square root | 284.573365 (= 3√8998) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.0982 × |
80982 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and eighty-two |
| Binary (base 2) | 10011110001010110 |
| Octal (base 8) | 236126 |
| Hexadecimal (base 16) | 13C56 |
| Base 3 | 11010002100 |
| As time | 80982 seconds = 22 h 29 min 42 s |
Is 80982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80982 ÷ 2 = 40491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80982 ÷ 3 = 26994) | 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 (80982 ÷ 6 = 13497) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (80982 ÷ 9 = 8998) | 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 (80982 ÷ 11 = 7362) | 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 80982 a prime number?
No. 80982 = 2 × × 11 × 409, so it is divisible by 2.
What are the factors of 80982?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 409, 818, 1227, 2454, 3681, 4499, 7362, 8998, 13497, 26994, 40491, 80982.
What is 80982 in binary?
10011110001010110 (hexadecimal 13C56, octal 236126).
What is the square root of 80982?
About 284.5734, exactly 3√8998.
Is 80982 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80982?
It is a composite number with 24 divisors.