Usage: 2 forms in 2 verses
Form Translated As     In Verse(s)
κατεχωρίσθη set down in writing LXX.1Chr.27.24
καταχωρίσαι to write LXX.Esth.2.23

Liddell-Scott-Jones

καταχωρίζω (katachōrizō) to set down in writing G:V

καταχωρίζω-ίζω,

Attic dialect future - ῐῶ [Refs 3rd c.BC+]:—place in position, frequently in [Refs 5th c.BC+]; mostly of soldiers, as [Refs]: generally, place, κατ᾽ ἀξίαν [Refs 3rd c.AD+]:—passive, take up a position, ὅπου δέοιτο [Refs 5th c.BC+]

__II enter in a register or record, κ. εἰς μνημόσυνον ἐν τῇ βιβλιοθήκῃ [LXX+1st c.BC+]; ὑπόμνημα [Refs 2nd c.BC+], etc.:—passive, [Refs 2nd c.AD+], etc.; τὰ ἐν τῷ ψηφίσματι -κεχωρισμένα [Refs 2nd c.BC+]; - εχωρίσθη ἀριθμὸς ἐν βιβλιῳ [LXX+1st c.BC+]
__II.2 assign, τινὰς εἰς φυλάς “OGI” [same place]; εἰς τὸ στρατιωτικὸν σύνταγμα Aristeas 36.
__II.2.b invest, allocate funds, etc., μισθὸν εἴς τι [Refs 3rd c.BC+]; of confiscated property, τὰ ὑπάρχοντά τινος κ. εἰς τὸ βασιλικόν [Refs 2nd c.BC+] —passive, τὰ εἰς τὸ ναυτικὸν -ισμένα Wilcken [Refs 3rd c.BC+]
__II.3 convey by deed, τινι [Refs 2nd c.BC+]
__III set down in a book, place on record, [Refs 1st c.BC+]; Κτησίβιος κατεχώρισεν, ὥστε.. [Refs 2nd c.AD+]; οὕτως -κεχώρικεν (i.e. Ἱπποκράτης) [Refs 1st c.BC+]:— passive, [Refs 2nd c.BC+]

LSJ Scripture Refs: LXX.Esth.2.23LXX.1Chr.27.24