The number 82325
82325 is a composite number with 12 divisors. Its prime factorisation is × 37 × 89. Divisors (12): 1, 5, 25, 37, 89, 185, 445, 925, 2225, 3293, 16465, 82325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82325 is composite. Its prime factorisation is
- 3
The divisors add up to 106020; without 82325 itself that is 23695, so 82325 is deficient (23695 is less than 82325). Euler's totient φ(82325) = 63360 numbers up to 82325 share no factor with it.
- 4
The digits of 82325 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82325 = 5^{2} \times 37 \times 89 \]82325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106020 |
| Euler totient φ(n) | 63360 |
| Square | 6777405625 |
| Cube | 557949918078125 |
| Square root | 286.923335 (= 5√3293) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2325 × |
82325 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand three hundred and twenty-five |
| Binary (base 2) | 10100000110010101 |
| Octal (base 8) | 240625 |
| Hexadecimal (base 16) | 14195 |
| Base 3 | 11011221002 |
| As time | 82325 seconds = 22 h 52 min 5 s |
Is 82325 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 2) | 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 (82325 ÷ 5 = 16465) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | 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 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82325 a prime number?
No. 82325 = × 37 × 89, so it is divisible by 5.
What are the factors of 82325?
1, 5, 25, 37, 89, 185, 445, 925, 2225, 3293, 16465, 82325.
What is 82325 in binary?
10100000110010101 (hexadecimal 14195, octal 240625).
What is the square root of 82325?
About 286.9233, exactly 5√3293.
Is 82325 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 82325?
It is a composite number with 12 divisors.