Final answer:
To troubleshoot routers stuck in the "Exchange" state, check neighbor configurations and the link state database.
Step-by-step explanation:
If routers are stuck in the "Exchange" state, you should check the neighbor configurations, as this state indicates a problem in establishing OSPF neighbor relationships. This can be caused by misconfigurations in the neighbor settings, such as mismatched network addresses or authentication settings.
It is also worth checking the link state database, which stores information about the network topology. Inconsistent or incorrect information in the database can lead to issues in OSPF operation.
Although OSPF area types and the routing table are important aspects of OSPF, they are not directly related to the routers being stuck in the "Exchange" state.