The number 6787
6787 is a composite number with 4 divisors. Its prime factorisation is 11 × 617. Divisors (4): 1, 11, 617, 6787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6787: a semiprime: 11 × 617, the product of two primes.
- 2
6787 is composite. Its prime factorisation is
- 3
The divisors add up to 7416; without 6787 itself that is 629, so 6787 is deficient (629 is less than 6787). Euler's totient φ(6787) = 6160 numbers up to 6787 share no factor with it.
- 4
The digits of 6787 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6787 = 11 \times 617 \]
6787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7416 |
| Euler totient φ(n) | 6160 |
| Square | 46063369 |
| Cube | 312632085403 |
| Square root | 82.383251 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.787 × |
6787 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty-seven |
| Binary (base 2) | 1101010000011 |
| Octal (base 8) | 15203 |
| Hexadecimal (base 16) | 1A83 |
| Base 3 | 100022101 |
| As time | 6787 seconds = 1 h 53 min 7 s |
Is 6787 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 | No (remainder 1) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (6787 ÷ 11 = 617) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6787 a prime number?
No. 6787 = 11 × 617, so it is divisible by 11.
What are the factors of 6787?
1, 11, 617, 6787.
What is 6787 in binary?
1101010000011 (hexadecimal 1A83, octal 15203).
What is the square root of 6787?
About 82.3833.
Is 6787 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 6787?
6787 is a semiprime: 11 × 617, the product of two primes.