To solve the problem, we follow these steps:
Step 1: Prime Factorization of 2023
2023 = (7^1 \times 17^2) (since (7×17×17 = 2023)).
Step 2: Calculate Sum of Divrs ((\sigma(n)))
The sum of divrs formula for (n = p^a q^b) is:
(\sigma(n) = (1+p+...+p^a) × (1+q+...+q^b))
For 2023:
(\sigma(7^1) = 1+7 = 8)
(\sigma(17^2) =1+17+17^2 =1+17+289=307)
Total sum: (8×307=2456)
Step3: Count 1s in Binary of 2456
Binary representation of 2456 is 100110011000.
Number of 1s: 5 (positions 11,8,7,4,3).
Answer:5
(\boxed{5})
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