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Oodles of Factors II (Posted on 2010-10-11) Difficulty: 3 of 5
A. What is the lowest base 12 positive integer that has exactly 10 (base 12) distinct positive factors?

B. Exactly 1,000 (base 12) distinct positive factors?

C. Exactly 1,000,000 (base 12) distinct positive factors?

For example, the distinct positive factors of 40 (base 12) are the base 12 numbers 1, 2, 3, 4, 6, 8, 10, 14, 20, and 40. Accordingly, 40 (base 12) has precisely A (base 12) distinct positive factors.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
re(2): Part CDaniel2010-10-12 11:58:25
re: Part CCharlie2010-10-12 11:36:12
Part CDaniel2010-10-11 19:45:39
re(2): thoughts on part B (confirmation)Daniel2010-10-11 19:34:24
re: thoughts on part BJustin2010-10-11 15:05:07
Some Thoughtsthoughts on part BCharlie2010-10-11 13:35:45
Some ThoughtsA start: solution for part ACharlie2010-10-11 11:48:57
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