A seven digit positive octal integer X is constituted by arranging the nonzero octal digits 1-7 in some order, so that:

• The octal number formed by the first two digits is divisible by 2.
  
• The octal number formed by the first three digits is divisible by 3.
  
• The octal number formed by the first four digits is divisible by 4.
• and, so on up to seven digits...

Determine all possible value(s) that X can assume.

(In reply to re: computer solution by Stephanie)

Stephanie,
I can understand your glee at find Charlie in error, but it seems that when he errs its something "minor" (if an error can be minor) within a carefully thoughtout process.

Our usual understanding here is to read numbers from left to right but it's good to see a different line of thinking, and for that matter, Charlie to accommodate it.

Posted by brianjn on 2009-03-31 02:05:19