Oregomai (G3713) means to stretch toward, to reach out with longing — combining physical extension with intense desire. It appears three times in the NT: 1 Timothy 3:1 ('If anyone aspires [oregetai] to the office of overseer, he desires a noble task'), 1 Timothy 6:10 ('those who desire [oregomenoi] to be rich have wandered from the faith'), and Hebrews 11:16 ('they desire [oregontai] a better country, that is, a heavenly one').
The theology of oregomai is directional: what you reach for shapes who you become. Three different objects of oregomai appear in the NT — church leadership (noble), wealth (dangerous), and heaven (blessed). The verb itself is neutral; the object transforms it. The patriarchs who oregontai for a heavenly homeland (Heb 11:16) are honored: 'God is not ashamed to be called their God, for he has prepared for them a city.' The leaders who oregontai for oversight for the right reasons are affirmed. But those who oregontai for wealth at the cost of faith have 'pierced themselves with many griefs' (1 Tim 6:10). Where is your reach directed?