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Question Number 90470 by Asif Hypothesis last updated on 23/Apr/20

F o r a n y p o s i t i v e i n t e g e r n, τ (n) i s t h e n u m b e r o f i t s f a c t o r s

P r o v e,

\sum_{i = 1}^{n} τ (i) = \sum_{i = 1}^{n} ⌊ n / i ⌋