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File:Base happiness 2 200.png

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Base_happiness_2_200.png (640 × 320 pixels, file size: 7 KB, MIME type: image/png)

Summary

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File information
Description

Graph of base happiness for bases , showing fraction of happy numbers in for each base. Note y-axis is logarithmic. Some notables:

  • Apart from bases 2 and 4 (the only known happy bases), the base with greatest happiness in this data set is 130, with over 95% of its numbers happy.
  • The least happy base in this set is 192. It has only 8 happy numbers in , less than !
  • No base in this data set has fewer than 8 happy numbers.
Source

self-made. Image generated with gnuplot, data set with simple C program. Data set available on request.

Date
Author

Lloyd Williams BinaryFrog 14:56, 27 June 2006 (UTC)

Permission
(Reusing this file)

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Date/TimeThumbnailDimensionsUserComment
current14:56, 27 June 2006Thumbnail for version as of 14:56, 27 June 2006640 × 320 (7 KB)BinaryFrog (talk | contribs)== Summary == {{Information| |Description = Graph of base happiness for bases 2-200, showing fraction of happy numbers in 1 through base*base*base for each base. Note y-axis is logarithmic. |Source = self-made. Image generated with gnuplot, data set with
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