___Yes, if you mean that a 4 goes in the box under 121 because 1+2+1=4, you have it correct. I'll take the step back & we can camp on it a bit. This is important from several perspectives, & if I may have you again look at the top row of boxes labeled n. There is the begiining of the list of integers on the lids, written in base ten. Whenever you look at an integer(in base ten) you start, almost unconciousely, to take the measure of it by looking at the last digit. Right away you know even or odd (divisibility by 2), & whether it divides by 5 or 10. (Did you know also that if the last two digits of any number divides by 4, the whole number divides by 4?)
___The Katabatak function gives you another quick measure because it gives you more information on divisability. If k(n) = 9, you know the number divides by 9 (and 3 of course). If that same number happens to be even, then you know it also divides by 6. Similarly, if K(n) = 6, the number divides by 3, & again if the number is even, it also divides by six. Lastly if K(n) =3, the number divides by 3, & 6 if it's even.
___Finally, since K(n) is congruent modulo 9 (in base ten), you may transform any katabatak result to its modular form. We are just a few posts away now from making some patterns with this & trying to make some music!
