perplexus.info :: Numbers : Naught and three poser

Naught and three poser (Posted on 2010-03-17)

Make a list of the respective minimum values of a positive base N integer, constituted entirely by threes and zeroes, which is divisible by the base ten number 52032 whenever N is a positive integer with 6 ≤ N ≤ 16.

What are the respective smallest number and the largest number in this list?

Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Solution: (Hide)

Minimum value is 26179536576 (base 10) = 303033003300 (base 8)
Maximum value is 33507036727101504 = 303033333000000 (base 14)
For an explanation, refer to the solution submitted by Charlie in this location, and by Harry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Computer solution	Harry	2010-03-17 23:56:57
computer extrapolation	Steve Herman	2010-03-17 14:16:16
computer exploration	Charlie	2010-03-17 12:41:54

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