Final answer:
The state when all OSPF routers are aware of all routes in the network is known as convergence. This occurs in a link-state routing protocol like OSPF after all routers have updated their information on the network topology.
Step-by-step explanation:
When all OSPF routers have learned about all other routes in the network, the state that is described is known as convergence. OSPF (Open Shortest Path First) is a link-state routing protocol, which means that each router maintains a map of the network topology. When changes occur, the routers propagate Link State Advertisements (LSAs) throughout the OSPF area until all routers have the same, most current information. At this point, all routers can determine the best paths to all destinations, and the network is considered converged.