Monday, 10 September 2012

First attempt to find Kaprekar constants-5 digits

This refers to my earlier blog relating to the 4 digit Kaprekar constant 6174.
To recall the details the number is arrived at by the following process.
Take any 4 digits say 8,3,2,7.
Work out the highest number and smallest number and the difference.
You get 8732-2378=6354
Repeat the procedure now with 6,3,5 and 4 and repeat again as many times as needed.
You will always end up with 6174.
I started similar procedures with 5 digits
I worked out 47 cases.
I got two results 82962 and 74943 in almost equal number of cases
I am trying to work out whether any other result is possible.I feel that no other result could come.
Anyway only a computer programme can show the answer. 

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