The number 6786
6786 is a triangular number: 1 + 2 + … + 116 = 6786. Its prime factorisation is 2 × × 13 × 29. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234 … 6786.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6786: a triangular number: 1 + 2 + … + 116 = 6786.
- 2
6786 is composite. Its prime factorisation is
- 3
The divisors add up to 16380; without 6786 itself that is 9594, so 6786 is abundant (9594 is more than 6786). Euler's totient φ(6786) = 2016 numbers up to 6786 share no factor with it.
- 4
The digits of 6786 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6786 = 2 \times 3^{2} \times 13 \times 29 \]6786 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16380 |
| Euler totient φ(n) | 2016 |
| Square | 46049796 |
| Cube | 312493915656 |
| Square root | 82.377181 (= 3√754) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.786 × |
6786 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty-six |
| Binary (base 2) | 1101010000010 |
| Octal (base 8) | 15202 |
| Hexadecimal (base 16) | 1A82 |
| Base 3 | 100022100 |
| As time | 6786 seconds = 1 h 53 min 6 s |
Is 6786 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6786 ÷ 2 = 3393) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6786 ÷ 3 = 2262) | 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 | Yes (6786 ÷ 6 = 1131) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6786 ÷ 9 = 754) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6786 a prime number?
No. 6786 = 2 × × 13 × 29, so it is divisible by 2.
What are the factors of 6786?
1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786.
What is 6786 in binary?
1101010000010 (hexadecimal 1A82, octal 15202).
What is the square root of 6786?
About 82.3772, exactly 3√754.
Is 6786 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6786?
6786 is a triangular number: 1 + 2 + … + 116 = 6786.