A cyclic number is an integer that has cyclic permutations of
the digits which are successive multiples of the number. The most
widely known is 142857: 142857 × 1 = 142857 142857 × 2 = 285714
142857 × 3 = 428571 142857 × 4 = 571428 142857 × 5 = 714285 142857
× 6 = 857142 There are many more