The number 6848
6848 is a composite number with 14 divisors. Its prime factorisation is × 107. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6848 is composite. Its prime factorisation is
- 3
The divisors add up to 13716; without 6848 itself that is 6868, so 6848 is abundant (6868 is more than 6848). Euler's totient φ(6848) = 3392 numbers up to 6848 share no factor with it.
- 4
The digits of 6848 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6848 = 2^{6} \times 107 \]6848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 13716 |
| Euler totient φ(n) | 3392 |
| Square | 46895104 |
| Cube | 321137672192 |
| Square root | 82.752643 (= 8√107) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.848 × |
6848 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and forty-eight |
| Binary (base 2) | 1101011000000 |
| Octal (base 8) | 15300 |
| Hexadecimal (base 16) | 1AC0 |
| Base 3 | 100101122 |
| As time | 6848 seconds = 1 h 54 min 8 s |
Is 6848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6848 ÷ 2 = 3424) | 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 (6848 ÷ 4 = 1712) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (6848 ÷ 8 = 856) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 6848 a prime number?
No. 6848 = × 107, so it is divisible by 2.
What are the factors of 6848?
1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848.
What is 6848 in binary?
1101011000000 (hexadecimal 1AC0, octal 15300).
What is the square root of 6848?
About 82.7526, exactly 8√107.
Is 6848 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 6848?
It is a composite number with 14 divisors.