The number 82529
82529 is a twin prime (82529 and 82531 are both prime) and the 8067th prime number. Its only divisors are 1 and 82529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82529: a twin prime (82529 and 82531 are both prime); the 8067th prime number.
- 2
82529 is prime, so its only factors are 1 and 82529. It is the 8067th prime; the next prime is 82531 and the one before is 82507.
- 3
The divisors add up to 82530; without 82529 itself that is 1, so 82529 is deficient (1 is less than 82529). Euler's totient φ(82529) = 82528 numbers up to 82529 share no factor with it.
- 4
The digits of 82529 add up to 26, 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.
82529 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82530 |
| Euler totient φ(n) | 82528 |
| Square | 6811035841 |
| Cube | 562107976921889 |
| Square root | 287.278610 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.2529 × |
82529 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and twenty-nine |
| Binary (base 2) | 10100001001100001 |
| Octal (base 8) | 241141 |
| Hexadecimal (base 16) | 14261 |
| Base 3 | 11012012122 |
| As time | 82529 seconds = 22 h 55 min 29 s |
Is 82529 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 | No (remainder 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 82529 a prime number?
Yes. 82529 is divisible only by 1 and itself.
What are the factors of 82529?
1, 82529.
What is 82529 in binary?
10100001001100001 (hexadecimal 14261, octal 241141).
What is the square root of 82529?
About 287.2786.
Is 82529 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 82529?
82529 is a twin prime (82529 and 82531 are both prime); the 8067th prime number.