KanjiJLPT N1
Urge Forward

stimulate, urge, press, demand, incite

Mnemonic

Butler Alfred spots you favoring one leg during training. He refuses to accept excuses. Grabbing your arm, Alfred drags you along, barking 'Faster!' — using his own leg to nudge you from behind, he'll urge forward anyone who dares slow down.
Additional thoughts
Picture Alfred in his crisp suit, impatiently kicking at your sore leg while shoving your back. His dignified voice shouting 'Move!' contrasts hilariously with the physical pushing. The leg is both the weak point he targets and the tool he uses to urge forward.
Quick recall
Butler Alfred kicks your tired leg to urge forward — no slowing down on his watch!

Details

The keyword for 促 is urge forward. This kanji conveys the idea of pressing someone to act quickly, hastening progress, or prompting action. It carries a sense of pushing things along, encouraging speed, or demanding that something be done without delay. The character is often associated with催促 (urging, pressing) and reflects the notion of applying pressure to move a situation or person toward completion or action.
On'yomi
そく
Kun'yomi
うなが.す