>7 * 11 * 13 = 1001
>
>So, any 3 digit number which is "doubled" on itself... for example 413 - > 413413 is
>essentially multiplied by 1001 - > 413 * 1001 = 413413
>
>which is 413 * 7 * 11 * 13 = 413413 = 413 * 1001.
Exactly.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)