The number 8082
8082 is a composite number with 12 divisors. Its prime factorisation is 2 × × 449. Divisors (12): 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8082: a Harshad number: divisible by its digit sum 18.
- 2
8082 is composite. Its prime factorisation is
- 3
The divisors add up to 17550; without 8082 itself that is 9468, so 8082 is abundant (9468 is more than 8082). Euler's totient φ(8082) = 2688 numbers up to 8082 share no factor with it.
- 4
The digits of 8082 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8082 = 2 \times 3^{2} \times 449 \]8082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17550 |
| Euler totient φ(n) | 2688 |
| Square | 65318724 |
| Cube | 527905927368 |
| Square root | 89.899944 (= 3√898) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 8.082 × |
8082 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighty-two |
| Binary (base 2) | 1111110010010 |
| Octal (base 8) | 17622 |
| Hexadecimal (base 16) | 1F92 |
| Base 3 | 102002100 |
| As time | 8082 seconds = 2 h 14 min 42 s |
Is 8082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8082 ÷ 2 = 4041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8082 ÷ 3 = 2694) | 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 (8082 ÷ 6 = 1347) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (8082 ÷ 9 = 898) | 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 8) | 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 8082 a prime number?
No. 8082 = 2 × × 449, so it is divisible by 2.
What are the factors of 8082?
1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082.
What is 8082 in binary?
1111110010010 (hexadecimal 1F92, octal 17622).
What is the square root of 8082?
About 89.8999, exactly 3√898.
Is 8082 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8082?
8082 is a Harshad number: divisible by its digit sum 18.