Not quite! The film has three layers, like all color film. What you are remembering is that there are four developers, the first developer (MQ in K-12 or PQ in K-14), cyan, yellow, and magenta. What sets apart Kodachrome from all other color films is that the dyes and couplers are contained in the three color developers rather than being incorporated into the film itself. This makes for a rather complicated and costly process but a very simple film. As for the number of tanks, the K-14 process is as follows:
1)Pre-bath or rem jet.
2)Rem-jet wash
3)First Developer
4)First Developer wash
5)Cyan developer
6)Cyan wash
7)Yellow Developer
8)Yellow wash
9)Magenta Developer
10)Magenta wash
11)Bleach
12)Bleach wash (spray)
13)Fixer
14)Final wash
For K-12, substitute Prehardner for the pre-bath, and add a magenta reversal bath and wash before the magenta developer.
I also worked at a Kodachrome lab many years ago (early '70's).