cyclic number

A "cyclic number" exhibits a unique property where its digits rearrange in a predictable way when multiplied by consecutive integers.

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Definition

C2Number Theory

(technical, academic)An integer that, when multiplied by consecutive integers, results in products that are rearrangements of its digits.

Example

  • The number 142857 is a cyclic number because multiplying it by any integer from 1 to 6 results in a rearrangement of its digits.
  • When 142857 is multiplied by 3, the result is 428571, which is a cyclic permutation of the original number.

Similar

Terms that have similar or relatively close meanings to "cyclic number":

cyclic poetprimitive polynomial