Cyclic number

A cyclic number is a special type of integer that has a unique property regarding its digits. This property is primarily exhibited when the number is multiplied by integers from 1 to n, where \( n \) is the number of digits in the cyclic number. The result will produce a permutation of the original number's digits. The most well-known example of a cyclic number is 142857, which is the decimal expansion of \( \frac{1}{7} \).