The number 82521
82521 is a composite number with 12 divisors. Its prime factorisation is × 53 × 173. Divisors (12): 1, 3, 9, 53, 159, 173, 477, 519, 1557, 9169, 27507, 82521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82521 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82521 is composite. Its prime factorisation is
- 3
The divisors add up to 122148; without 82521 itself that is 39627, so 82521 is deficient (39627 is less than 82521). Euler's totient φ(82521) = 53664 numbers up to 82521 share no factor with it.
- 4
The digits of 82521 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82521 = 3^{2} \times 53 \times 173 \]82521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 122148 |
| Euler totient φ(n) | 53664 |
| Square | 6809715441 |
| Cube | 561944527906761 |
| Square root | 287.264686 (= 3√9169) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.2521 × |
82521 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and twenty-one |
| Binary (base 2) | 10100001001011001 |
| Octal (base 8) | 241131 |
| Hexadecimal (base 16) | 14259 |
| Base 3 | 11012012100 |
| As time | 82521 seconds = 22 h 55 min 21 s |
Is 82521 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 (82521 ÷ 3 = 27507) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82521 ÷ 9 = 9169) | 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 10) | 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 82521 a prime number?
No. 82521 = × 53 × 173, so it is divisible by 3.
What are the factors of 82521?
1, 3, 9, 53, 159, 173, 477, 519, 1557, 9169, 27507, 82521.
What is 82521 in binary?
10100001001011001 (hexadecimal 14259, octal 241131).
What is the square root of 82521?
About 287.2647, exactly 3√9169.
Is 82521 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82521?
It is a composite number with 12 divisors.