The number 6867
6867 is a composite number with 12 divisors. Its prime factorisation is × 7 × 109. Divisors (12): 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6867 is composite. Its prime factorisation is
- 3
The divisors add up to 11440; without 6867 itself that is 4573, so 6867 is deficient (4573 is less than 6867). Euler's totient φ(6867) = 3888 numbers up to 6867 share no factor with it.
- 4
The digits of 6867 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6867 = 3^{2} \times 7 \times 109 \]6867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11440 |
| Euler totient φ(n) | 3888 |
| Square | 47155689 |
| Cube | 323818116363 |
| Square root | 82.867364 (= 3√763) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.867 × |
6867 in other forms
| Form | Value |
|---|---|
| In words | six thousand eight hundred and sixty-seven |
| Binary (base 2) | 1101011010011 |
| Octal (base 8) | 15323 |
| Hexadecimal (base 16) | 1AD3 |
| Base 3 | 100102100 |
| As time | 6867 seconds = 1 h 54 min 27 s |
Is 6867 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 (6867 ÷ 3 = 2289) | 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 2) | 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 | Yes (6867 ÷ 7 = 981) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6867 ÷ 9 = 763) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 6867 a prime number?
No. 6867 = × 7 × 109, so it is divisible by 3.
What are the factors of 6867?
1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867.
What is 6867 in binary?
1101011010011 (hexadecimal 1AD3, octal 15323).
What is the square root of 6867?
About 82.8674, exactly 3√763.
Is 6867 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6867?
It is a composite number with 12 divisors.