Since I feel awkward not remembering when I showered last, I have decided to start a showering log, starting from last year, so that I can keep track of when and where I shower, and how long each shower is.

Given that you logged it, would you like some feedback on your shower patterns?
Yes, please, go right ahead.
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Your average is once every 4 days
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Preferred showering time is at night
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Average time spent ~31 minutes
Assuming that it is total time spent on the process, not actual hot water time, it is on the longer side compared to the average worldwide.
The actual feedback: If it is 31 minutes hot water time, showering will end up quite expensive. It could also lead to dry skin but YMMV.