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super powerful pandigitals (Posted on 2009-02-24) Difficulty: 3 of 5
1) Find all the 0 to 9 pandigital numbers (without leading zero) that have the largest power of 3 as a factor.

2) One of these numbers has a very interesting property. What is it?

*an x to y pandigital number is an integer that contains all the digits from x to y and only those digits once each, for example 1234 is 1 to 4 pandigital but not 1 to 9 pandigital*

See The Solution Submitted by Daniel    
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Some Thoughts An uninteresting property. | Comment 2 of 8 |
Assuming Charlie found part 1)

505*3^15 = 7246 1980 35

1/505 = .00 1980 1980 1980...

Spaces added for emphasis.
Not very interesting but we do have a 1980 in each...

In 1980 the Pittsburgh Steelers won the super bowl and they also won this year.

  Posted by Jer on 2009-02-24 13:59:23
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