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What number comes next in the following sequence of positive integers?

$\color{#3D99F6}{1},\color{#EC7300}{2},\color{#D61F06}{4},\color{#20A900}{8},\color{#69047E}{61},\color{#333333}{23},\color{#624F41}{46},\color{magenta}{821},\ldots$

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