An ornithologist uses GPS tracking to study a flock of geese whose flight paths form a repeating cycle every \( k \) days. She observes that a particular behavioral pattern occurs every \( k \) days, where \( k \) is the smallest two-digit number such that \( k \) is divisible by the sum of its digits and leaves a remainder of 2 when divided by 7. What is \( k \)? - Nelissen Grade advocaten