The number 6808
6808 is a composite number with 16 divisors. Its prime factorisation is × 23 × 37. Divisors (16): 1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6808 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 6808 itself that is 6872, so 6808 is abundant (6872 is more than 6808). Euler's totient φ(6808) = 3168 numbers up to 6808 share no factor with it.
- 4
The digits of 6808 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6808 = 2^{3} \times 23 \times 37 \]6808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 3168 |
| Square | 46348864 |
| Cube | 315543066112 |
| Square root | 82.510605 (= 2√1702) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.808 × |
6808 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and eight |
| Binary (base 2) | 1101010011000 |
| Octal (base 8) | 15230 |
| Hexadecimal (base 16) | 1A98 |
| Base 3 | 100100011 |
| As time | 6808 seconds = 1 h 53 min 28 s |
Is 6808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6808 ÷ 2 = 3404) | 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 | Yes (6808 ÷ 4 = 1702) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (6808 ÷ 8 = 851) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6808 a prime number?
No. 6808 = × 23 × 37, so it is divisible by 2.
What are the factors of 6808?
1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808.
What is 6808 in binary?
1101010011000 (hexadecimal 1A98, octal 15230).
What is the square root of 6808?
About 82.5106, exactly 2√1702.
Is 6808 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6808?
It is a composite number with 16 divisors.