.psd file size does not make any sense to me

I am hoping someone can explain the huge .psd file sizes I am seeing.
I have a Canon 7D and shoot raw.  I have a raw file that is 24.6 Mbytes and is a 3456 x 5184 pixel image. I then open with ACR and do nothing but save it as a 16-bit .psd file with the same image (pixel) resolution.  The .psd file is 102.5 Mbytes.
By my calcs a 3456 x 5184 x 2 bytes (16 bit depth) is 35.8 Mbytes uncompressed.  Yet the .psd is nearly 3 times this size before it is ever opened in Photoshop.
Can anyone explain why?  My 256 GByte disk has been eaten up like a bunch of breath mints...

Your assumptions are wrong.
"16 bit" RGB data has 3 colors per pixel x 16 bits per color.  Thus, 3456 x 5184 x 6 bytes = 107 megabytes and change.
The raw file has, as I recall, 14 bits per photosite of measurement data that has not been debayered.  Only one color range of light is measured per photosite.
Both the Canon CR2 raw format and the Photoshop PSD format include lossless compression as well.
I hope this helps clear things up.
-Noel

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