The number 82082
82082 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 41. Divisors (32): 1, 2, 7, 11, 13, 14, 22, 26, 41, 77, 82, 91, 143, 154, 182, 286 … 82082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82082 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 82082 itself that is 87262, so 82082 is abundant (87262 is more than 82082). Euler's totient φ(82082) = 28800 numbers up to 82082 share no factor with it.
- 4
The digits of 82082 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82082 = 2 \times 7 \times 11 \times 13 \times 41 \]
82082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 28800 |
| Square | 6737454724 |
| Cube | 553023758655368 |
| Square root | 286.499564 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2082 × |
82082 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and eighty-two |
| Binary (base 2) | 10100000010100010 |
| Octal (base 8) | 240242 |
| Hexadecimal (base 16) | 140A2 |
| Base 3 | 11011121002 |
| As time | 82082 seconds = 22 h 48 min 2 s |
Is 82082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82082 ÷ 2 = 41041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82082 ÷ 7 = 11726) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 (82082 ÷ 11 = 7462) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82082 a prime number?
No. 82082 = 2 × 7 × 11 × 13 × 41, so it is divisible by 2.
What are the factors of 82082?
1, 2, 7, 11, 13, 14, 22, 26, 41, 77, 82, 91, 143, 154, 182, 286, 287, 451, 533, 574, 902, 1001, 1066, 2002, 3157, 3731, 5863, 6314, 7462, 11726, 41041, 82082.
What is 82082 in binary?
10100000010100010 (hexadecimal 140A2, octal 240242).
What is the square root of 82082?
About 286.4996.
Is 82082 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 82082?
It is a composite number with 32 divisors.