<pre>
What 6 digit number, with 6 different digits, when multiplied by all integers
up to 6, circulates its digits through all 6 possible positions, as follows:
<pre>
 ABCDEF * 1 = ABCDEF
 ABCDEF * 3 = BCDEFA
 ABCDEF * 2 = CDEFAB
 ABCDEF * 6 = DEFABC
 ABCDEF * 4 = EFABCD
 ABCDEF * 5 = FABCDE
</pre>

[[RecPuzzlesCircular Solution]]
</pre>
