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Are there any known facts/particularities/theorems about structures as the one below?

$$ 3^0 \cdot 2^{a_0} +3^1 \cdot 2^{a_1} + ... + 3^n \cdot 2^{a_n} $$

$$ n, a_0, a_1, .. a_n \in N $$

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This looks similar to numerators of fractions with odd denominator that create specific Collatz cycles. See: Collatz Conjecture: Iterating with odd denominators or 2-adic integers (Wikipedia)

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