The number 6765
6765 is a Fibonacci number. Its prime factorisation is 3 × 5 × 11 × 41. Divisors (16): 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6765: a Fibonacci number.
- 2
6765 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 6765 itself that is 5331, so 6765 is deficient (5331 is less than 6765). Euler's totient φ(6765) = 3200 numbers up to 6765 share no factor with it.
- 4
The digits of 6765 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6765 = 3 \times 5 \times 11 \times 41 \]
6765 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 3200 |
| Square | 45765225 |
| Cube | 309601747125 |
| Square root | 82.249620 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.765 × |
6765 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-five |
| Binary (base 2) | 1101001101101 |
| Octal (base 8) | 15155 |
| Hexadecimal (base 16) | 1A6D |
| Base 3 | 100021120 |
| As time | 6765 seconds = 1 h 52 min 45 s |
Is 6765 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 (6765 ÷ 3 = 2255) | 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 | Yes (6765 ÷ 5 = 1353) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6765 ÷ 11 = 615) | 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 6765 a prime number?
No. 6765 = 3 × 5 × 11 × 41, so it is divisible by 3.
What are the factors of 6765?
1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765.
What is 6765 in binary?
1101001101101 (hexadecimal 1A6D, octal 15155).
What is the square root of 6765?
About 82.2496.
Is 6765 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 6765?
6765 is a Fibonacci number.