The number 82500
82500 is a composite number with 60 divisors. Its prime factorisation is × 3 × × 11. Divisors (60): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44 … 82500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82500: a Harshad number: divisible by its digit sum 15.
- 2
82500 is composite. Its prime factorisation is
- 3
The divisors add up to 262416; without 82500 itself that is 179916, so 82500 is abundant (179916 is more than 82500). Euler's totient φ(82500) = 20000 numbers up to 82500 share no factor with it.
- 4
The digits of 82500 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82500 = 2^{2} \times 3 \times 5^{4} \times 11 \]82500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 262416 |
| Euler totient φ(n) | 20000 |
| Square | 6806250000 |
| Cube | 561515625000000 |
| Square root | 287.228132 (= 50√33) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.25 × |
82500 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred |
| Binary (base 2) | 10100001001000100 |
| Octal (base 8) | 241104 |
| Hexadecimal (base 16) | 14244 |
| Base 3 | 11012011120 |
| As time | 82500 seconds = 22 h 55 min 0 s |
Is 82500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82500 ÷ 2 = 41250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82500 ÷ 3 = 27500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82500 ÷ 4 = 20625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82500 ÷ 5 = 16500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82500 ÷ 6 = 13750) | 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 4) | 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 | Yes (82500 ÷ 10 = 8250) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (82500 ÷ 11 = 7500) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82500 ÷ 12 = 6875) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82500 a prime number?
No. 82500 = × 3 × × 11, so it is divisible by 2.
What are the factors of 82500?
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 125, 132, 150, 165, 220, 250, 275, 300, 330, 375, 500, 550, 625, 660, 750, 825, 1100, 1250, 1375, 1500, 1650, 1875, 2500, 2750, 3300, 3750, 4125, 5500, 6875, 7500, 8250, 13750, 16500, 20625, 27500, 41250, 82500.
What is 82500 in binary?
10100001001000100 (hexadecimal 14244, octal 241104).
What is the square root of 82500?
About 287.2281, exactly 50√33.
Is 82500 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 82500?
82500 is a Harshad number: divisible by its digit sum 15.