The number 82984
82984 is a composite number with 32 divisors. Its prime factorisation is × 11 × 23 × 41. Divisors (32): 1, 2, 4, 8, 11, 22, 23, 41, 44, 46, 82, 88, 92, 164, 184, 253 … 82984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82984 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 82984 itself that is 98456, so 82984 is abundant (98456 is more than 82984). Euler's totient φ(82984) = 35200 numbers up to 82984 share no factor with it.
- 4
The digits of 82984 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82984 = 2^{3} \times 11 \times 23 \times 41 \]82984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 35200 |
| Square | 6886344256 |
| Cube | 571456391739904 |
| Square root | 288.069436 (= 2√20746) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.2984 × |
82984 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand nine hundred and eighty-four |
| Binary (base 2) | 10100010000101000 |
| Octal (base 8) | 242050 |
| Hexadecimal (base 16) | 14428 |
| Base 3 | 11012211111 |
| As time | 82984 seconds = 23 h 3 min 4 s |
Is 82984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82984 ÷ 2 = 41492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82984 ÷ 4 = 20746) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (82984 ÷ 8 = 10373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (82984 ÷ 11 = 7544) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82984 a prime number?
No. 82984 = × 11 × 23 × 41, so it is divisible by 2.
What are the factors of 82984?
1, 2, 4, 8, 11, 22, 23, 41, 44, 46, 82, 88, 92, 164, 184, 253, 328, 451, 506, 902, 943, 1012, 1804, 1886, 2024, 3608, 3772, 7544, 10373, 20746, 41492, 82984.
What is 82984 in binary?
10100010000101000 (hexadecimal 14428, octal 242050).
What is the square root of 82984?
About 288.0694, exactly 2√20746.
Is 82984 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 82984?
It is a composite number with 32 divisors.