The number 82824
82824 is a composite number with 64 divisors. Its prime factorisation is × 3 × 7 × 17 × 29. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 29, 34, 42 … 82824.
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How to work it out
- 1
What is special about 82824: a Harshad number: divisible by its digit sum 24.
- 2
82824 is composite. Its prime factorisation is
- 3
The divisors add up to 259200; without 82824 itself that is 176376, so 82824 is abundant (176376 is more than 82824). Euler's totient φ(82824) = 21504 numbers up to 82824 share no factor with it.
- 4
The digits of 82824 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82824 = 2^{3} \times 3 \times 7 \times 17 \times 29 \]82824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 259200 |
| Euler totient φ(n) | 21504 |
| Square | 6859814976 |
| Cube | 568157315572224 |
| Square root | 287.791591 (= 2√20706) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.2824 × |
82824 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and twenty-four |
| Binary (base 2) | 10100001110001000 |
| Octal (base 8) | 241610 |
| Hexadecimal (base 16) | 14388 |
| Base 3 | 11012121120 |
| As time | 82824 seconds = 23 h 0 min 24 s |
Is 82824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82824 ÷ 2 = 41412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82824 ÷ 3 = 27608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82824 ÷ 4 = 20706) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82824 ÷ 6 = 13804) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82824 ÷ 7 = 11832) | 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 (82824 ÷ 8 = 10353) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82824 ÷ 12 = 6902) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82824 a prime number?
No. 82824 = × 3 × 7 × 17 × 29, so it is divisible by 2.
What are the factors of 82824?
1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 29, 34, 42, 51, 56, 58, 68, 84, 87, 102, 116, 119, 136, 168, 174, 203, 204, 232, 238, 348, 357, 406, 408, 476, 493, 609, 696, 714, 812, 952, 986, 1218, 1428, 1479, 1624, 1972, 2436, 2856, 2958, 3451, 3944, 4872, 5916, 6902, 10353, 11832, 13804, 20706, 27608, 41412, 82824.
What is 82824 in binary?
10100001110001000 (hexadecimal 14388, octal 241610).
What is the square root of 82824?
About 287.7916, exactly 2√20706.
Is 82824 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 82824?
82824 is a Harshad number: divisible by its digit sum 24.