What product are you working with (e.g. ArcMap, ArcGIS Pro, etc.)?
If working with ArcGIS Pro, you can first run Can you run it from the system requirements page to get an initial sense if your machine meets the minimum or recommended requirements:
Also, you might be interested in this recent blog post about the Performance Assessment Tool:
Announcing the ArcGIS Pro Performance Assessment Tool (PAT)
I know this doesn't specifically answer your question, but would be good indicators of whether the machine is performing optimally. If we get this post to the right place (ArcMap or Pro) we may be able to get the community to offer some expected times for running Hot Spot Analysis on 3,000 points.
Cheers