@Childs, Jason Thank you for reaching out to us, would like to understand how many times did this issue happen in your environment before and after the hardware changes (post increase in memory & cpu's) on the server ?
Do you see any events in the system/application logs in the event viewer at the time of issue ?
Also, would recommend to check the hardware pre-reqs as defined here - https://learn.microsoft.com/en-us/azure/active-directory/hybrid/connect/how-to-connect-install-prerequisites#:~:text=Hardware%20requirements%20for%20Azure%20AD%20Connect
What is the version of Azure AD Connect installed on the server ? if it is old version, try to upgrade to the latest version and verify the issue.
Similar issue has been worked by one of my colleague last year - https://learn.microsoft.com/en-us/answers/questions/946068/azure-ad-connect-sync-service-is-not-running try to check the steps/approach mentioned in this post and see if it helps to isolate this issue.
Let me know if you have any further questions, feel free to post back, if required we can connect offline to troubleshoot the same.
Please remember to "Accept Answer" if answer helped, so that others in the community facing similar issues can easily find the solution.