The number 6687
6687 is a composite number with 6 divisors. Its prime factorisation is × 743. Divisors (6): 1, 3, 9, 743, 2229, 6687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6687 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6687 is composite. Its prime factorisation is
- 3
The divisors add up to 9672; without 6687 itself that is 2985, so 6687 is deficient (2985 is less than 6687). Euler's totient φ(6687) = 4452 numbers up to 6687 share no factor with it.
- 4
The digits of 6687 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6687 = 3^{2} \times 743 \]6687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9672 |
| Euler totient φ(n) | 4452 |
| Square | 44715969 |
| Cube | 299015684703 |
| Square root | 81.774079 (= 3√743) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.687 × |
6687 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and eighty-seven |
| Binary (base 2) | 1101000011111 |
| Octal (base 8) | 15037 |
| Hexadecimal (base 16) | 1A1F |
| Base 3 | 100011200 |
| As time | 6687 seconds = 1 h 51 min 27 s |
Is 6687 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 (6687 ÷ 3 = 2229) | 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 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6687 ÷ 9 = 743) | 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 10) | 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 6687 a prime number?
No. 6687 = × 743, so it is divisible by 3.
What are the factors of 6687?
1, 3, 9, 743, 2229, 6687.
What is 6687 in binary?
1101000011111 (hexadecimal 1A1F, octal 15037).
What is the square root of 6687?
About 81.7741, exactly 3√743.
Is 6687 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6687?
It is a composite number with 6 divisors.