The number 82080
82080 is a composite number with 96 divisors. Its prime factorisation is × × 5 × 19. Divisors (96): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24 … 82080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82080: a Harshad number: divisible by its digit sum 18.
- 2
82080 is composite. Its prime factorisation is
- 3
The divisors add up to 302400; without 82080 itself that is 220320, so 82080 is abundant (220320 is more than 82080). Euler's totient φ(82080) = 20736 numbers up to 82080 share no factor with it.
- 4
The digits of 82080 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82080 = 2^{5} \times 3^{3} \times 5 \times 19 \]82080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 302400 |
| Euler totient φ(n) | 20736 |
| Square | 6737126400 |
| Cube | 552983334912000 |
| Square root | 286.496073 (= 12√570) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.208 × |
82080 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and eighty |
| Binary (base 2) | 10100000010100000 |
| Octal (base 8) | 240240 |
| Hexadecimal (base 16) | 140A0 |
| Base 3 | 11011121000 |
| As time | 82080 seconds = 22 h 48 min 0 s |
Is 82080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82080 ÷ 2 = 41040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82080 ÷ 3 = 27360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82080 ÷ 4 = 20520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82080 ÷ 5 = 16416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82080 ÷ 6 = 13680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (82080 ÷ 8 = 10260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82080 ÷ 9 = 9120) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (82080 ÷ 10 = 8208) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82080 ÷ 12 = 6840) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82080 a prime number?
No. 82080 = × × 5 × 19, so it is divisible by 2.
What are the factors of 82080?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 27, 30, 32, 36, 38, 40, 45, 48, 54, 57, 60, 72, 76, 80, 90, 95, 96, 108, 114, 120, 135, 144, 152, 160, 171, 180, 190, 216, 228, 240, 270, 285, 288, 304, 342, 360, 380, 432, 456, 480, 513, 540, 570, 608, 684, 720, 760, 855, 864, 912, 1026, 1080, 1140, 1368, 1440, 1520, 1710, 1824, 2052, 2160, 2280, 2565, 2736, 3040, 3420, 4104, 4320, 4560, 5130, 5472, 6840, 8208, 9120, 10260, 13680, 16416, 20520, 27360, 41040, 82080.
What is 82080 in binary?
10100000010100000 (hexadecimal 140A0, octal 240240).
What is the square root of 82080?
About 286.4961, exactly 12√570.
Is 82080 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82080?
82080 is a Harshad number: divisible by its digit sum 18.