In how many positive four-digit integers that are not multiples of do the digits form a geometric sequence? (The digits must form a geometric sequence, in order. For example, the number 8412 does not count.)
In how many positive four-digit integers that are not multiples of 1111 do the digits form a geometric sequence? (The digits must form a geometric sequence, in order. For example, the number 8412 does not count.)
+591 multiplying by 2: 1248
dividing by 2: 8421
multiplying or dividing any more will go into double digits, so only $\boxed{2}$(unless I made a mistake).
