Matilda wrote down an integer, then subtracted 1 and wrote the result next to her first number. Then she repeated the following operations: she calculated the sum of all the numbers already written, subtracted 1 from this sum, and wrote the new number obtained next to the numbers already written. If one of the numbers she wrote down was 2688, what is the smallest possible number she could have started with?
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29888
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is the answer when I solved
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