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Express \( w \) in terms of \( l \): - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 To find the sum of even divisors, note that an even divisor must include at least one factor of 2, so \( a \geq 1 \). Thus:

📌 \( a = 1 \) or \( a = 2 \)

📌 \( b = 0 \) or \( b = 1 \)

📌 \( c = 0 \) or \( c = 1 \)

📌 We compute the sum:

📌 \sum_{\substack{a=1\\b=0\\c=0}}^{2,1,1} 2^a \cdot 3^b \cdot 5^c

📌 = \left( \sum_{a=1}^{2} 2^a \right) \cdot \left( \sum_{b=0}^{1} 3^b \right) \cdot \left( \sum_{c=0}^{1} 5^c \right)

📌 \( \sum_{a=1}^{2} 2^a = 2 + 4 = 6 \)

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