The number 82425
82425 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 157. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 157, 175, 471, 525, 785, 1099 … 82425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82425: a Harshad number: divisible by its digit sum 21.
- 2
82425 is composite. Its prime factorisation is
- 3
The divisors add up to 156736; without 82425 itself that is 74311, so 82425 is deficient (74311 is less than 82425). Euler's totient φ(82425) = 37440 numbers up to 82425 share no factor with it.
- 4
The digits of 82425 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82425 = 3 \times 5^{2} \times 7 \times 157 \]82425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156736 |
| Euler totient φ(n) | 37440 |
| Square | 6793880625 |
| Cube | 559985610515625 |
| Square root | 287.097544 (= 5√3297) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.2425 × |
82425 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and twenty-five |
| Binary (base 2) | 10100000111111001 |
| Octal (base 8) | 240771 |
| Hexadecimal (base 16) | 141F9 |
| Base 3 | 11012001210 |
| As time | 82425 seconds = 22 h 53 min 45 s |
Is 82425 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 | Yes (82425 ÷ 3 = 27475) | 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 (82425 ÷ 5 = 16485) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82425 ÷ 7 = 11775) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82425 a prime number?
No. 82425 = 3 × × 7 × 157, so it is divisible by 3.
What are the factors of 82425?
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 157, 175, 471, 525, 785, 1099, 2355, 3297, 3925, 5495, 11775, 16485, 27475, 82425.
What is 82425 in binary?
10100000111111001 (hexadecimal 141F9, octal 240771).
What is the square root of 82425?
About 287.0975, exactly 5√3297.
Is 82425 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82425?
82425 is a Harshad number: divisible by its digit sum 21.