the completion of an age: the appointed moment when a whole stretch of time reaches the finish it was heading for
This word is built from the everyday word for an end or a goal (τέλος) plus a prefix meaning "together". That prefix is the whole point: not merely the moment something stops, but the moment when all of it finishes at once and is settled. A harvest is the picture the New Testament itself reaches for, a field brought in and sorted rather than a clock quietly running out.
In the New Testament the word appears almost only inside one fixed phrase, "the end of the age", and five of its six uses are in Matthew. It is what the disciples ask about on the Mount of Olives, what Jesus points to when he explains the weeds among the wheat and the net full of fish, and the far boundary of his promise to be with his followers every day. In each case the age in view is the present chapter of history, which God will close on his own schedule.
Hebrews tilts the phrase in another direction. There Christ has appeared "at the completion of the ages", with the plural taking in the whole run of history, and the completion spoken of as something that has already happened at the cross. The visible close of the present age is still ahead, yet the decisive turn has already been made.
The verb this noun comes from (συντελέω) means to bring a thing to full completion. The noun names the point at which that work is done.