The number 6766
6766 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 199. Divisors (8): 1, 2, 17, 34, 199, 398, 3383, 6766.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6766 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6766 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 6766 itself that is 4034, so 6766 is deficient (4034 is less than 6766). Euler's totient φ(6766) = 3168 numbers up to 6766 share no factor with it.
- 4
The digits of 6766 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6766 = 2 \times 17 \times 199 \]
6766 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 3168 |
| Square | 45778756 |
| Cube | 309739063096 |
| Square root | 82.255699 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.766 × |
6766 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-six |
| Binary (base 2) | 1101001101110 |
| Octal (base 8) | 15156 |
| Hexadecimal (base 16) | 1A6E |
| Base 3 | 100021121 |
| As time | 6766 seconds = 1 h 52 min 46 s |
Is 6766 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6766 ÷ 2 = 3383) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6766 a prime number?
No. 6766 = 2 × 17 × 199, so it is divisible by 2.
What are the factors of 6766?
1, 2, 17, 34, 199, 398, 3383, 6766.
What is 6766 in binary?
1101001101110 (hexadecimal 1A6E, octal 15156).
What is the square root of 6766?
About 82.2557.
Is 6766 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 6766?
It is a composite number with 8 divisors.