The number 6831
6831 is a composite number with 16 divisors. Its prime factorisation is × 11 × 23. Divisors (16): 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6831 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6831 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 6831 itself that is 4689, so 6831 is deficient (4689 is less than 6831). Euler's totient φ(6831) = 3960 numbers up to 6831 share no factor with it.
- 4
The digits of 6831 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6831 = 3^{3} \times 11 \times 23 \]6831 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 3960 |
| Square | 46662561 |
| Cube | 318751954191 |
| Square root | 82.649864 (= 3√759) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.831 × |
6831 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and thirty-one |
| Binary (base 2) | 1101010101111 |
| Octal (base 8) | 15257 |
| Hexadecimal (base 16) | 1AAF |
| Base 3 | 100101000 |
| As time | 6831 seconds = 1 h 53 min 51 s |
Is 6831 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 (6831 ÷ 3 = 2277) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6831 ÷ 9 = 759) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6831 ÷ 11 = 621) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6831 a prime number?
No. 6831 = × 11 × 23, so it is divisible by 3.
What are the factors of 6831?
1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831.
What is 6831 in binary?
1101010101111 (hexadecimal 1AAF, octal 15257).
What is the square root of 6831?
About 82.6499, exactly 3√759.
Is 6831 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6831?
It is a composite number with 16 divisors.