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Home » \( a^3 + b^3 = 880 \) - Silent Sales Machine

\( a^3 + b^3 = 880 \) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, the base-ten representation is $ \boxed{209} $.

📌 Question: What is the sum of all of the positive odd divisors of $ 180 $?

📌 Solution: First, factor $ 180 = 2^2 \cdot 3^2 \cdot 5 $. To find only the odd divisors, we ignore the factor of 2 and consider only $ 3^2 \cdot 5 $.

📌 The odd divisors of 180 are the divisors of $ 3^2 \cdot 5 = 45 $.

📌 List all positive divisors of 45: $ 1, 3, 5, 9, 15, 45 $.

📌 Now compute their sum:

📌 + 3 + 5 + 9 + 15 + 45 = 78

📌 Thus, the sum of all positive odd divisors of 180 is $ \boxed{78} $.

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