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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.)

 Mar 2, 2021
 #1
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"that are not multiples of ......... what?''

 Mar 2, 2021
 #2
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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.)

 Mar 2, 2021
 #3
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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).

 Mar 2, 2021

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