The number 82723
82723 is a twin prime (82721 and 82723 are both prime) and the 8084th prime number. Its only divisors are 1 and 82723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82723: a twin prime (82721 and 82723 are both prime); the 8084th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
82723 is prime, so its only factors are 1 and 82723. It is the 8084th prime; the next prime is 82727 and the one before is 82721.
- 3
The divisors add up to 82724; without 82723 itself that is 1, so 82723 is deficient (1 is less than 82723). Euler's totient φ(82723) = 82722 numbers up to 82723 share no factor with it.
- 4
The digits of 82723 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
82723 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 82724 |
| Euler totient φ(n) | 82722 |
| Square | 6843094729 |
| Cube | 566081325267067 |
| Square root | 287.616064 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2723 × |
82723 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and twenty-three |
| Binary (base 2) | 10100001100100011 |
| Octal (base 8) | 241443 |
| Hexadecimal (base 16) | 14323 |
| Base 3 | 11012110211 |
| As time | 82723 seconds = 22 h 58 min 43 s |
Is 82723 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82723 a prime number?
Yes. 82723 is divisible only by 1 and itself.
What are the factors of 82723?
1, 82723.
What is 82723 in binary?
10100001100100011 (hexadecimal 14323, octal 241443).
What is the square root of 82723?
About 287.6161.
Is 82723 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 82723?
82723 is a twin prime (82721 and 82723 are both prime); the 8084th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.