Find the smallest number comprised of only 3’s and 7’s which fits the following conditions:

1) It has at least one 3;
2) It has at least one 7;
3) It is divisible by 3;
4) It is divisible by 7;
5) The sum of its digits is divisible by 3;
6) The sum of its digits is divisible by 7.

(In reply to re: the computer doing the trial and error by stewart)

Have your Cigar back and I hand you a light.....  Just added the decimal places back to me calc.  and got a .43...

 

so re-done - 3333377733

This agrees with other solutions I have seen. 

Posted by stewart on 2006-04-10 07:43:56