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Home » Call of Duty Black Ops 2: These Secret Missions Will Blow Your Mind! - DNSFLEX

Call of Duty Black Ops 2: These Secret Missions Will Blow Your Mind! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 $ 5 \equiv 1 \pmod{4} $

📌 $ 9 \equiv 1 \pmod{4} $

📌 $ 15 \equiv 3 \pmod{4} $

📌 $ 45 \equiv 1 \pmod{4} $ (since $ 44 = 11 \cdot 4 $)

📌 So the divisors $ \equiv 1 \pmod{4} $ are: $ 1, 5, 9, 45 $.

📌 + 5 + 9 + 45 = 60

📌 Thus, the sum of all positive divisors of $ 1440 $ congruent to $ 1 \pmod{4} $ is $ \boxed{60} $.

📌 Question: What is the remainder when $ 1001 + 1003 + 1005 + \cdots + 1099 $ is divided by $ 16 $?

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