The number 6849
6849 is a composite number with 6 divisors. Its prime factorisation is × 761. Divisors (6): 1, 3, 9, 761, 2283, 6849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6849 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6849 is composite. Its prime factorisation is
- 3
The divisors add up to 9906; without 6849 itself that is 3057, so 6849 is deficient (3057 is less than 6849). Euler's totient φ(6849) = 4560 numbers up to 6849 share no factor with it.
- 4
The digits of 6849 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6849 = 3^{2} \times 761 \]6849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9906 |
| Euler totient φ(n) | 4560 |
| Square | 46908801 |
| Cube | 321278378049 |
| Square root | 82.758685 (= 3√761) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 6.849 × |
6849 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and forty-nine |
| Binary (base 2) | 1101011000001 |
| Octal (base 8) | 15301 |
| Hexadecimal (base 16) | 1AC1 |
| Base 3 | 100101200 |
| As time | 6849 seconds = 1 h 54 min 9 s |
Is 6849 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6849 ÷ 3 = 2283) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6849 ÷ 9 = 761) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6849 a prime number?
No. 6849 = × 761, so it is divisible by 3.
What are the factors of 6849?
1, 3, 9, 761, 2283, 6849.
What is 6849 in binary?
1101011000001 (hexadecimal 1AC1, octal 15301).
What is the square root of 6849?
About 82.7587, exactly 3√761.
Is 6849 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6849?
It is a composite number with 6 divisors.