Cyclic Number - Properties of Cyclic Numbers

Properties of Cyclic Numbers

  • When multiplied by their generating prime, results in a sequence of 9's. 142857 × 7 = 999999
  • When split in half by its digits and added the result is a sequence of 9's. 142 + 857 = 999 (This is a special case of Midy's Theorem.)
  • All cyclic numbers are divisible by 9. (This follows from the previous point.)

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