perplexus.info :: Numbers : Oodles of Factors II

Oodles of Factors II (Posted on 2010-10-11)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

A. (50)₁₂
B. (54B,74B,200)₁₂
C. (1777769b4b2199b7304790000)₁₂
For an explanation to part A, refer to the solution submitted by Charlie in this location.
For an explanation to part B, refer to the solution submitted by Charlie in this location.
For an explanation to part C, refer to the solution on the basis of the methodology submitted by Charlie in this location.

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

Subject	Author	Date
re(2): Part C	K Sengupta	2024-02-28 00:48:35
re(2): Part C	Daniel	2010-10-12 11:58:25
re: Part C	Charlie	2010-10-12 11:36:12
Part C	Daniel	2010-10-11 19:45:39
re(2): thoughts on part B (confirmation)	Daniel	2010-10-11 19:34:24
re: thoughts on part B	Justin	2010-10-11 15:05:07
thoughts on part B	Charlie	2010-10-11 13:35:45
A start: solution for part A	Charlie	2010-10-11 11:48:57

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