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The Badu number (also spelled Badū number) is a concept from number theory that identifies integers exhibiting a specific multiplicative digital-root-like property in a given base. For a fixed base b ≥ 2, define the digit-product function P_b(n) as the product of the base-b digits of n (treating any zero digit as contributing a factor 0). The Badu number property concerns integers n for which iterating P_b eventually reaches a fixed point equal to n itself (or a short cycle that includes n) under some normalization; alternative definitions and variants exist in the literature and recreational-math discussions. The topic intersects multiplicative persistence, digital-product iterates, and fixed-point dynamics of digit functions.

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In certain South Asian countries (such as Sri Lanka), the word is local slang. The Experience: The Badu number (also spelled Badū number) is

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