The number 82501
82501 is a composite number with 8 divisors. Its prime factorisation is 17 × 23 × 211. Divisors (8): 1, 17, 23, 211, 391, 3587, 4853, 82501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82501 is composite. Its prime factorisation is
- 3
The divisors add up to 91584; without 82501 itself that is 9083, so 82501 is deficient (9083 is less than 82501). Euler's totient φ(82501) = 73920 numbers up to 82501 share no factor with it.
- 4
The digits of 82501 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82501 = 17 \times 23 \times 211 \]
82501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91584 |
| Euler totient φ(n) | 73920 |
| Square | 6806415001 |
| Cube | 561536043997501 |
| Square root | 287.229873 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.2501 × |
82501 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and one |
| Binary (base 2) | 10100001001000101 |
| Octal (base 8) | 241105 |
| Hexadecimal (base 16) | 14245 |
| Base 3 | 11012011121 |
| As time | 82501 seconds = 22 h 55 min 1 s |
Is 82501 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 | No (remainder 1) | 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 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 5) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82501 a prime number?
No. 82501 = 17 × 23 × 211, so it is divisible by 17.
What are the factors of 82501?
1, 17, 23, 211, 391, 3587, 4853, 82501.
What is 82501 in binary?
10100001001000101 (hexadecimal 14245, octal 241105).
What is the square root of 82501?
About 287.2299.
Is 82501 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 82501?
82501 is a happy number: repeatedly adding the squares of its digits reaches 1.