The number 82820
82820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 101. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 82, 101, 164, 202, 205, 404, 410, 505, 820 … 82820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82820: a Harshad number: divisible by its digit sum 20.
- 2
82820 is composite. Its prime factorisation is
- 3
The divisors add up to 179928; without 82820 itself that is 97108, so 82820 is abundant (97108 is more than 82820). Euler's totient φ(82820) = 32000 numbers up to 82820 share no factor with it.
- 4
The digits of 82820 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
\[ 82820 = 2^{2} \times 5 \times 41 \times 101 \]82820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 179928 |
| Euler totient φ(n) | 32000 |
| Square | 6859152400 |
| Cube | 568075001768000 |
| Square root | 287.784642 (= 2√20705) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.282 × |
82820 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and twenty |
| Binary (base 2) | 10100001110000100 |
| Octal (base 8) | 241604 |
| Hexadecimal (base 16) | 14384 |
| Base 3 | 11012121102 |
| As time | 82820 seconds = 23 h 0 min 20 s |
Is 82820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82820 ÷ 2 = 41410) | 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 | Yes (82820 ÷ 4 = 20705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82820 ÷ 5 = 16564) | 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 | No (remainder 3) | 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 4) | 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 | Yes (82820 ÷ 10 = 8282) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82820 a prime number?
No. 82820 = × 5 × 41 × 101, so it is divisible by 2.
What are the factors of 82820?
1, 2, 4, 5, 10, 20, 41, 82, 101, 164, 202, 205, 404, 410, 505, 820, 1010, 2020, 4141, 8282, 16564, 20705, 41410, 82820.
What is 82820 in binary?
10100001110000100 (hexadecimal 14384, octal 241604).
What is the square root of 82820?
About 287.7846, exactly 2√20705.
Is 82820 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 82820?
82820 is a Harshad number: divisible by its digit sum 20.