jumptocatid
This module simply places an input field above the category tree in the admin Manage Categories page. It allows you to input the id of a category, and jump directly to it.
Known issues: none
Ref: http://magento.stackexchange.com/questions/11044/find-category-by-id-in-magento-backend
Only tested on Magento ver. 1.7.0.2 and 1.9.3.3