The number 6824
6824 is a composite number with 8 divisors. Its prime factorisation is × 853. Divisors (8): 1, 2, 4, 8, 853, 1706, 3412, 6824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6824 is composite. Its prime factorisation is
- 3
The divisors add up to 12810; without 6824 itself that is 5986, so 6824 is deficient (5986 is less than 6824). Euler's totient φ(6824) = 3408 numbers up to 6824 share no factor with it.
- 4
The digits of 6824 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6824 = 2^{3} \times 853 \]6824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12810 |
| Euler totient φ(n) | 3408 |
| Square | 46566976 |
| Cube | 317773044224 |
| Square root | 82.607506 (= 2√1706) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 18 |
| Scientific notation | 6.824 × |
6824 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and twenty-four |
| Binary (base 2) | 1101010101000 |
| Octal (base 8) | 15250 |
| Hexadecimal (base 16) | 1AA8 |
| Base 3 | 100100202 |
| As time | 6824 seconds = 1 h 53 min 44 s |
Is 6824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6824 ÷ 2 = 3412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6824 ÷ 4 = 1706) | 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 2) | 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 | Yes (6824 ÷ 8 = 853) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6824 a prime number?
No. 6824 = × 853, so it is divisible by 2.
What are the factors of 6824?
1, 2, 4, 8, 853, 1706, 3412, 6824.
What is 6824 in binary?
1101010101000 (hexadecimal 1AA8, octal 15250).
What is the square root of 6824?
About 82.6075, exactly 2√1706.
Is 6824 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6824?
It is a composite number with 8 divisors.