Cyclic Number

A cyclic number is an integer in which cyclic permutations of the digits 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

Read more about Cyclic Number:  Details, Relation To Repeating Decimals, Form of Cyclic Numbers, Construction of Cyclic Numbers, Properties of Cyclic Numbers, Other Numeric Bases

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