The number 82025
82025 is a composite number with 12 divisors. Its prime factorisation is × 17 × 193. Divisors (12): 1, 5, 17, 25, 85, 193, 425, 965, 3281, 4825, 16405, 82025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82025: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
82025 is composite. Its prime factorisation is
- 3
The divisors add up to 108252; without 82025 itself that is 26227, so 82025 is deficient (26227 is less than 82025). Euler's totient φ(82025) = 61440 numbers up to 82025 share no factor with it.
- 4
The digits of 82025 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82025 = 5^{2} \times 17 \times 193 \]82025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108252 |
| Euler totient φ(n) | 61440 |
| Square | 6728100625 |
| Cube | 551872453765625 |
| Square root | 286.400070 (= 5√3281) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2025 × |
82025 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and twenty-five |
| Binary (base 2) | 10100000001101001 |
| Octal (base 8) | 240151 |
| Hexadecimal (base 16) | 14069 |
| Base 3 | 11011111222 |
| As time | 82025 seconds = 22 h 47 min 5 s |
Is 82025 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 (82025 ÷ 5 = 16405) | 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 6) | 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 8) | 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 9) | 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 82025 a prime number?
No. 82025 = × 17 × 193, so it is divisible by 5.
What are the factors of 82025?
1, 5, 17, 25, 85, 193, 425, 965, 3281, 4825, 16405, 82025.
What is 82025 in binary?
10100000001101001 (hexadecimal 14069, octal 240151).
What is the square root of 82025?
About 286.4001, exactly 5√3281.
Is 82025 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 82025?
82025 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.