The number 6822
6822 is a composite number with 12 divisors. Its prime factorisation is 2 × × 379. Divisors (12): 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6822: a Harshad number: divisible by its digit sum 18.
- 2
6822 is composite. Its prime factorisation is
- 3
The divisors add up to 14820; without 6822 itself that is 7998, so 6822 is abundant (7998 is more than 6822). Euler's totient φ(6822) = 2268 numbers up to 6822 share no factor with it.
- 4
The digits of 6822 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6822 = 2 \times 3^{2} \times 379 \]6822 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14820 |
| Euler totient φ(n) | 2268 |
| Square | 46539684 |
| Cube | 317493724248 |
| Square root | 82.595399 (= 3√758) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.822 × |
6822 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and twenty-two |
| Binary (base 2) | 1101010100110 |
| Octal (base 8) | 15246 |
| Hexadecimal (base 16) | 1AA6 |
| Base 3 | 100100200 |
| As time | 6822 seconds = 1 h 53 min 42 s |
Is 6822 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6822 ÷ 2 = 3411) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6822 ÷ 3 = 2274) | 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 (6822 ÷ 6 = 1137) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6822 ÷ 9 = 758) | 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 2) | 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 6822 a prime number?
No. 6822 = 2 × × 379, so it is divisible by 2.
What are the factors of 6822?
1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822.
What is 6822 in binary?
1101010100110 (hexadecimal 1AA6, octal 15246).
What is the square root of 6822?
About 82.5954, exactly 3√758.
Is 6822 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6822?
6822 is a Harshad number: divisible by its digit sum 18.