Crossword Genius

Perceive a number cheer (7)

Ross

I believe the answer is:

hearten

'cheer' is the definition.
(I know that cheer can be written as hearten)

'perceive a number' is the wordplay.
'perceive' becomes 'hear' (hearing is a kind of perceiving).
'a number' becomes 'ten' (ten is a number).
'hear'+'ten'='HEARTEN'

(Other definitions for hearten that I've seen before include "Encourage in Teheran" , "Inspire anew" , "Comfort" , "giving cheer" , "Be encouraged" .)

I've seen this clue in The Mirror.
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