The number 82321
82321 is a composite number with 4 divisors. Its prime factorisation is 191 × 431. Divisors (4): 1, 191, 431, 82321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82321: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 191 × 431, the product of two primes.
- 2
82321 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 82321 itself that is 623, so 82321 is deficient (623 is less than 82321). Euler's totient φ(82321) = 81700 numbers up to 82321 share no factor with it.
- 4
The digits of 82321 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82321 = 191 \times 431 \]
82321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 81700 |
| Square | 6776747041 |
| Cube | 557868593162161 |
| Square root | 286.916364 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.2321 × |
82321 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand three hundred and twenty-one |
| Binary (base 2) | 10100000110010001 |
| Octal (base 8) | 240621 |
| Hexadecimal (base 16) | 14191 |
| Base 3 | 11011220221 |
| As time | 82321 seconds = 22 h 52 min 1 s |
Is 82321 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 1) | 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 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 8) | 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 82321 a prime number?
No. 82321 = 191 × 431, so it is divisible by 191.
What are the factors of 82321?
1, 191, 431, 82321.
What is 82321 in binary?
10100000110010001 (hexadecimal 14191, octal 240621).
What is the square root of 82321?
About 286.9164.
Is 82321 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 82321?
82321 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 191 × 431, the product of two primes.