The number 82729
82729 is a twin prime (82727 and 82729 are both prime) and the 8086th prime number. Its only divisors are 1 and 82729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82729: a twin prime (82727 and 82729 are both prime); the 8086th prime number.
- 2
82729 is prime, so its only factors are 1 and 82729. It is the 8086th prime; the next prime is 82757 and the one before is 82727.
- 3
The divisors add up to 82730; without 82729 itself that is 1, so 82729 is deficient (1 is less than 82729). Euler's totient φ(82729) = 82728 numbers up to 82729 share no factor with it.
- 4
The digits of 82729 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
82729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82730 |
| Euler totient φ(n) | 82728 |
| Square | 6844087441 |
| Cube | 566204509906489 |
| Square root | 287.626494 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2729 × |
82729 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and twenty-nine |
| Binary (base 2) | 10100001100101001 |
| Octal (base 8) | 241451 |
| Hexadecimal (base 16) | 14329 |
| Base 3 | 11012111001 |
| As time | 82729 seconds = 22 h 58 min 49 s |
Is 82729 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 4) | 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 3) | 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 1) | 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 9) | 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 82729 a prime number?
Yes. 82729 is divisible only by 1 and itself.
What are the factors of 82729?
1, 82729.
What is 82729 in binary?
10100001100101001 (hexadecimal 14329, octal 241451).
What is the square root of 82729?
About 287.6265.
Is 82729 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 82729?
82729 is a twin prime (82727 and 82729 are both prime); the 8086th prime number.