tag:blogger.com,1999:blog-1577767911269302322.post6815670691514913645..comments2023-01-28T04:26:16.372-07:00Comments on northsider: A Prog Rock Band From The Garden Of England.northsider http://www.blogger.com/profile/00716743611909673869noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1577767911269302322.post-5086115658375864662022-01-18T00:13:24.621-07:002022-01-18T00:13:24.621-07:00Call it a memory?ðŸ˜Š Call it a memory?ðŸ˜Š northsider https://www.blogger.com/profile/00716743611909673869noreply@blogger.comtag:blogger.com,1999:blog-1577767911269302322.post-74372068940426778502022-01-17T17:25:54.203-07:002022-01-17T17:25:54.203-07:006174 is known as Kaprekar's constant after the...6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is notable for the following rule:<br /><br />Take any four-digit number, using at least two different digits (leading zeros are allowed).<br />Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary.<br />Subtract the smaller number from the bigger number.<br />Go back to step 2 and repeat.<br />The above process, known as Kaprekar's routine, will always reach its fixed point, 6174, in at most 7 iterations. Once 6174 is reached, the process will continue yielding 7641 â€“ 1467 = 6174. For example, choose 1495:<br /><br />9541 â€“ 1459 = 8082<br />8820 â€“ 0288 = 8532<br />8532 â€“ 2358 = 6174<br />7641 â€“ 1467 = 6174<br />The only four-digit numbers for which Kaprekar's routine does not reach 6174 are repdigits such as 1111, which give the result 0000 after a single iteration. All other four-digit numbers eventually reach 6174 if leading zeros are used to keep the number of digits at 4.<br /><br />I hope that helps Dave.Yorkshire Puddinghttps://www.blogger.com/profile/06019673884543913089noreply@blogger.com