The number 80082
80082 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1483. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1483, 2966, 4449, 8898, 13347, 26694, 40041, 80082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80082: a Harshad number: divisible by its digit sum 18.
- 2
80082 is composite. Its prime factorisation is
- 3
The divisors add up to 178080; without 80082 itself that is 97998, so 80082 is abundant (97998 is more than 80082). Euler's totient φ(80082) = 26676 numbers up to 80082 share no factor with it.
- 4
The digits of 80082 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80082 = 2 \times 3^{3} \times 1483 \]80082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 178080 |
| Euler totient φ(n) | 26676 |
| Square | 6413126724 |
| Cube | 513576014311368 |
| Square root | 282.987632 (= 3√8898) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.0082 × |
80082 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eighty-two |
| Binary (base 2) | 10011100011010010 |
| Octal (base 8) | 234322 |
| Hexadecimal (base 16) | 138D2 |
| Base 3 | 11001212000 |
| As time | 80082 seconds = 22 h 14 min 42 s |
Is 80082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80082 ÷ 2 = 40041) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80082 ÷ 3 = 26694) | 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 (80082 ÷ 6 = 13347) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (80082 ÷ 9 = 8898) | 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 2) | 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 80082 a prime number?
No. 80082 = 2 × × 1483, so it is divisible by 2.
What are the factors of 80082?
1, 2, 3, 6, 9, 18, 27, 54, 1483, 2966, 4449, 8898, 13347, 26694, 40041, 80082.
What is 80082 in binary?
10011100011010010 (hexadecimal 138D2, octal 234322).
What is the square root of 80082?
About 282.9876, exactly 3√8898.
Is 80082 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80082?
80082 is a Harshad number: divisible by its digit sum 18.