The number 6813
6813 is a composite number with 6 divisors. Its prime factorisation is × 757. Divisors (6): 1, 3, 9, 757, 2271, 6813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6813 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6813 is composite. Its prime factorisation is
- 3
The divisors add up to 9854; without 6813 itself that is 3041, so 6813 is deficient (3041 is less than 6813). Euler's totient φ(6813) = 4536 numbers up to 6813 share no factor with it.
- 4
The digits of 6813 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6813 = 3^{2} \times 757 \]6813 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9854 |
| Euler totient φ(n) | 4536 |
| Square | 46416969 |
| Cube | 316238809797 |
| Square root | 82.540899 (= 3√757) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.813 × |
6813 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and thirteen |
| Binary (base 2) | 1101010011101 |
| Octal (base 8) | 15235 |
| Hexadecimal (base 16) | 1A9D |
| Base 3 | 100100100 |
| As time | 6813 seconds = 1 h 53 min 33 s |
Is 6813 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 (6813 ÷ 3 = 2271) | 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 3) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6813 ÷ 9 = 757) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 6813 a prime number?
No. 6813 = × 757, so it is divisible by 3.
What are the factors of 6813?
1, 3, 9, 757, 2271, 6813.
What is 6813 in binary?
1101010011101 (hexadecimal 1A9D, octal 15235).
What is the square root of 6813?
About 82.5409, exactly 3√757.
Is 6813 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6813?
It is a composite number with 6 divisors.