The number 6816
6816 is a composite number with 24 divisors. Its prime factorisation is × 3 × 71. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284 … 6816.
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How to work it out
- 1
6816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6816 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 6816 itself that is 11328, so 6816 is abundant (11328 is more than 6816). Euler's totient φ(6816) = 2240 numbers up to 6816 share no factor with it.
- 4
The digits of 6816 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6816 = 2^{5} \times 3 \times 71 \]6816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2240 |
| Square | 46457856 |
| Cube | 316656746496 |
| Square root | 82.559070 (= 4√426) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 18 |
| Scientific notation | 6.816 × |
6816 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and sixteen |
| Binary (base 2) | 1101010100000 |
| Octal (base 8) | 15240 |
| Hexadecimal (base 16) | 1AA0 |
| Base 3 | 100100110 |
| As time | 6816 seconds = 1 h 53 min 36 s |
Is 6816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6816 ÷ 2 = 3408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6816 ÷ 3 = 2272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6816 ÷ 4 = 1704) | 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 | Yes (6816 ÷ 6 = 1136) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (6816 ÷ 8 = 852) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6816 ÷ 12 = 568) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6816 a prime number?
No. 6816 = × 3 × 71, so it is divisible by 2.
What are the factors of 6816?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816.
What is 6816 in binary?
1101010100000 (hexadecimal 1AA0, octal 15240).
What is the square root of 6816?
About 82.5591, exactly 4√426.
Is 6816 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6816?
It is a composite number with 24 divisors.