It must be quite common sense to actively contact the people you know were friends or family to your parents. Not necessarily by phone unless you also know them well, but by email or text or whatever contact details your parents have in their contact book.

I very much would think your parents would expect that of their children.

>I'm not going to call everyone in my life to tell them

It's particularly the people in your parents life you should inform, not necessarily the people in your life.

Don't forget that your social media network is not the same as your parent's social media network (if at all they use it).