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Home » Pabellon Criollo: The Iconic Arena That Stole the Spotlight—Here’s Why! - Dachbleche24

Pabellon Criollo: The Iconic Arena That Stole the Spotlight—Here’s Why! - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A science educator is creating a digital tool to explore divisors of numbers. If a number is the product of the primes 3, 5, and 7, what is the sum of all its odd divisors?

📌 The number is expressed as the product of the primes 3, 5, and 7. Therefore, the number is \( n = 3^1 \times 5^1 \times 7^1 \).

📌 To find the sum of all odd divisors, we use the formula for the sum of divisors:

📌 \sigma(n) = (1 + p_1 + p_1^2 + \cdots + p_1^{a_1})(1 + p_2 + \cdots + p_2^{a_2}) \cdots (1 + p_k + \cdots + p_k^{a_k})

📌 For \( n = 3^1 \times 5^1 \times 7^1 \), the sum of odd divisors is:

📌 Calculating step-by-step:

📌 \times 6 = 24

📌 \times 8 = 192

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