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Sunday, 11 December 2011

Cyclic numbers

Let me start with the famous cyclic number 142857.
This is the period in the reciprocal of the prime number 7.viz when you attempt finding the reciprocal these 6 numbers get repeated.
When you start multiplying this number with 3,you get 428571,i.e the digit 1 at the left end moving to the right the other digits remaining undisturbed.When you now multiply the number with 2 you get 285714 the digit 2 also similarly moving.Similar multiplications with 6,4 and 5 you get  857142,571428 and 714285 again with similar continuous movements.More funny details in my next post.

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