perplexus.info :: Numbers : Identical Digit Baffle III

Identical Digit Baffle III (Posted on 2023-07-22)

Determine the value of the respective smallest and largest value of a six digit octadecimal (base 18) positive integer N such that when N is multiplied by an octadecimal digit, the result is a 7-digit octadecimal positive integer having precisely six identical digits.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The smallest and the largest solutions are:

base-18 decimal product N mult N mult base-18 decimal 187187 D 2770675 13 1112111 36018775 GGGGGH 9 32011505 9 8888889 288103545
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
Just smallest and largest 6-digit base 18 solutions	Larry	2023-07-22 11:47:54
re: computer solution -- list continued	Charlie	2023-07-22 09:32:33
computer solution	Charlie	2023-07-22 09:28:03

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