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Anything Special About 495 and 6174

 
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DexterOnline



Joined: 05 Aug 2007
Posts: 1

PostPosted: Sat Jul 14, 2007 2:42 pm    Post subject: Anything Special About 495 and 6174 Reply with quote

Step 1:

If you take any three digit number excluding the ones with 3 same
digits , say you choose 512.

Step 2:


Then you rearrange this number to get the maximum and minimum number
represented by these digits which will be 521 and 125 respectively.
Subtracting the smallest from the largest would yield 396

You now repeat Step 2 with the number you had from subtraction

963 - 369=594


Back to Step 2:

954-459=495

If you try these steps with any three digit number, given that all
three digits are not same; you will end up with 495 if you go through
the procedure in step 2.

For four digit numbers, the process terminates at 6174

The procedure does not terminate at any special number for numbers
with more than 4 digits

Website: http://www.BritishComputerColleges.com/VU/polaRgraphs.html

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Herbert Glarner



Joined: 03 Nov 2007
Posts: 3

PostPosted: Tue Nov 20, 2007 10:08 pm    Post subject: Re: Anything Special About 495 and 6174 Reply with quote

On Sat, 14 Jul 2007 19:42:17 +0200, DexterOnline
wrote:

> The procedure does not terminate at any special number for numbers
> with more than 4 digits

The numbers /are/ special, they are the 2nd and 3rd term of the Kaprekar
mapping. The sequence starts as follows: 0, 495, 6174, 549945, 631764, ....

Check the Kaprekar mapping at
http://www.research.att.com/~njas/sequences/A099009

Regards,
//Herbert

--

0.7 = [0; 1, 2, 3]
http://herbert.gandraxa.com/herbert/cfr.asp

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