Are Hamachi minecraft servers always running

So I made (am making, actually) a Minecraft server with Hamachi and I want to know if the server, once made, is always running or not. This "always running" problem is why I am making a Hamachi server instead of a port forwarding one. However, if Hamachi is similar to port forwarding in that you must click a start.command file and you need the start.command file to be on for the server to be running I will abandon it and probably start crying unless I can run it 24/7 on my computer, which if I can I would like to know how as well. Thanks!

I think you've got your wires a little crossed for this one.

The always-on nature of a server doesn't really have anything to do with the networking side. As long as hamachi is running, and logged in, and the server program is running, people will be able to connect to your server.

if you shutdown the machine, you will need to start hamachi and the server program again when you start the machine up again.

As said in my comment above, Hamachi is bad. Please don't use it. Get a dedicated machine, and use port forwarding to allow access.