The number 82825
82825 is a composite number with 6 divisors. Its prime factorisation is Ć 3313. Divisors (6): 1, 5, 25, 3313, 16565, 82825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82825: a Harshad number: divisible by its digit sum 25.
- 2
82825 is composite. Its prime factorisation is
- 3
The divisors add up to 102734; without 82825 itself that is 19909, so 82825 is deficient (19909 is less than 82825). Euler's totient Ļ(82825) = 66240 numbers up to 82825 share no factor with it.
- 4
The digits of 82825 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82825 = 5^{2} \times 3313 \]82825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 102734 |
| Euler totient Ļ(n) | 66240 |
| Square | 6859980625 |
| Cube | 568177895265625 |
| Square root | 287.793329 (= 5ā3313) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.2825 Ć |
82825 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand eight hundred and twenty-five |
| Binary (base 2) | 10100001110001001 |
| Octal (base 8) | 241611 |
| Hexadecimal (base 16) | 14389 |
| Base 3 | 11012121121 |
| As time | 82825 seconds = 23 h 0 min 25 s |
Is 82825 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82825 Ć· 5 = 16565) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82825 a prime number?
No. 82825 = Ć 3313, so it is divisible by 5.
What are the factors of 82825?
1, 5, 25, 3313, 16565, 82825.
What is 82825 in binary?
10100001110001001 (hexadecimal 14389, octal 241611).
What is the square root of 82825?
About 287.7933, exactly 5ā3313.
Is 82825 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 82825?
82825 is a Harshad number: divisible by its digit sum 25.