付く

1. godan verb, intransitive to be attached; to be connected with; to adhere; to stick; to cling
2. to remain imprinted; to scar; to stain; to dye
3. to bear (fruit, interest, etc.)
4. to be acquired (of a habit, ability, etc.); to increase (of strength, etc.)
5. to take root
6. to accompany; to attend; to follow; to study with
7. to side with; to belong to
8. to possess; to haunt
9. to be lit; to catch fire; to ignite; to be turned on (of a light, appliance, etc.)
10. to be settled; to be resolved; to be decided
11. to be given (of a name, price, etc.)
12. to be sensed; to be perceived
13. from 運がつく to be lucky
14. suffix, godan verb, after -masu stems, onomatopoeic and mimetic words to become (a state, condition, etc.)

づく

1. suffix, godan verb to become (a state, condition, etc.)