A four-digit hexadecimal integer is written on a napkin such that the units digit is illegible. The first three digits are 4, A, and 7. If the integer is a multiple of \(17_{10}\), what is the units digit?
16^3 x 4 16^2 x 10 + 16^1 x 7 + 16^0 x ? = multiple of 17
?= units digit = 1