Just as a NB I've had a bare MDBT board connected to a 4 digit 7-segment LED (usually off) that's lasted about 2 weeks on a dodgy CR2032. Dodgy because it was about 3 years old when I found it and put it in the device. There's also a .22µF ceramic bypass cap which may be helping with the rampup time.
Even a new 2032 has about a 30Ω internal resistance.
If the LEDs are always on 3.5 days sounds about right - I mux them and also have a button that turns them on for 10 seconds.
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Just as a NB I've had a bare MDBT board connected to a 4 digit 7-segment LED (usually off) that's lasted about 2 weeks on a dodgy CR2032. Dodgy because it was about 3 years old when I found it and put it in the device. There's also a .22µF ceramic bypass cap which may be helping with the rampup time.
Even a new 2032 has about a 30Ω internal resistance.
If the LEDs are always on 3.5 days sounds about right - I mux them and also have a button that turns them on for 10 seconds.