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yup I ran it thru a calculator and at 3821meters in seawater (official depth of titanic) it comes out at 2500kgs per square inch or 380atm or (like you said) about 5500psi. will crush almost anything at that pressure.I just ran some quick calcs to estimate the "atmospheric" pressure at their depth, which I think is 13,000 ft.
Learned that every 33 ft you descend below the water adds an atmosphere of pressure.
Pressure surrounding them is over twice as high as a full size high pressure gas cylinder. High 5,000s in psi, and they decided to trust that jalopy that doesn't even have half a dozen dives in it's history