The number 8322
8322 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 73. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8322 is composite. Its prime factorisation is
- 3
The divisors add up to 17760; without 8322 itself that is 9438, so 8322 is abundant (9438 is more than 8322). Euler's totient φ(8322) = 2592 numbers up to 8322 share no factor with it.
- 4
The digits of 8322 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8322 = 2 \times 3 \times 19 \times 73 \]
8322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17760 |
| Euler totient φ(n) | 2592 |
| Square | 69255684 |
| Cube | 576345802248 |
| Square root | 91.224997 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.322 × |
8322 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and twenty-two |
| Binary (base 2) | 10000010000010 |
| Octal (base 8) | 20202 |
| Hexadecimal (base 16) | 2082 |
| Base 3 | 102102020 |
| As time | 8322 seconds = 2 h 18 min 42 s |
Is 8322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8322 ÷ 2 = 4161) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8322 ÷ 3 = 2774) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8322 ÷ 6 = 1387) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8322 a prime number?
No. 8322 = 2 × 3 × 19 × 73, so it is divisible by 2.
What are the factors of 8322?
1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322.
What is 8322 in binary?
10000010000010 (hexadecimal 2082, octal 20202).
What is the square root of 8322?
About 91.2250.
Is 8322 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8322?
It is a composite number with 16 divisors.