Lexical Definition

‎ἀπέρχομαι‎ apérchomai (ap-erkh'-om-ahee) to go away ^G:V
from ‎ἀπό‎ and ‎ἔρχομαι‎

come, depart, go (aside, away, back, out, … ways), pass away, be past.

• to go off (i.e. depart), aside (i.e. apart) or behind (i.e. follow), literally or figuratively

Abbott-Smith

ἀπ-έρχομαι, [in LXX chiefly for הלךְ;]
1. to go away, depart (also, in late writers, with "perfective" force, to arrive at a destination, the thought being carried on to the goal; M, Pr., 111 f., 247; MM, s.v.);
(a) absol.: Mt 13:25, al.; ptcp., ἀπελθών, used pleonastically with other verbs as in Heb. (Dalman, Words, 21), Mt 13:28, al.;
(b) with mention of place or person: εἰς, Mt 14:15; ἐπί, Lk 24:24; πρός, Re 10:9; ἀπό, Lk 1:38; ἐξω, Ac 4:15; ἐκεῖ, Mt 2:22.
2. As in LXX, seq. ὀπίσω, c. gen. (Heb. הָלַךְ אַחֲרֵי), to go after, follow: Mk 1:20, Jo 12:19; metaph., Mk 1:42, Re 21:1.

Abbott-Smith References

Liddell-Scott-Jones

ἀπέρχομαι,

future -ελεύσομαι (Attic dialect future ἄπειμι): perfect -ελήλυθα: aorist -ῆλθον:— go away, depart from, with genitive, πάτρης[Refs 8th c.BC+] cease from tears. [Refs 5th c.BC+]

__2 with εἰς, implying departure from one place and arrival at another, ἀ. ἐς τὰς Σάρδις[Refs 5th c.BC+]; ἀ. ἐπ᾽ οἴκου depart homewards, [Refs 5th c.BC+]; ἀπῆλθεν ὅθεν.. went back to the place whence he came, [Refs 5th c.BC+]
__3 absolutely, [Refs 5th c.BC+]; ταχεῖ᾽ ἀπέρχεται (i.e. ἡ νόσος) [Refs 5th c.BC+]; κᾷτ᾽ ὀφλὼν ἀ. [Refs 5th c.BC+]; ἄπελθε τουτονὶ λαβών take him and be off! [Refs 5th c.BC+]
__4 with participle, ἀ. νικῶν come off conqueror, [Refs 1st c.AD+]
__5 spread abroad, ἀπῆλθεν ἡ ἀκοὴ αὐτοῦ εἰς Συρίαν[NT]
__II depart from life, ἀ. κάτω[Refs 5th c.BC+]

_{LSJ Scripture Refs: Matt.4.24}