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Home » Character Santa Claus Exposed: The Jolly Genius Behind the Myth! - American Beagle Club

Character Santa Claus Exposed: The Jolly Genius Behind the Myth! - American Beagle Club

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Smallest: 1000 (divisible by 5)

📌 Largest: 9995 (since 9999 is not divisible by 5, subtract 4 to get 9995)

📌 These numbers form an arithmetic sequence where \(a = 1000\), \(l = 9995\), and \(d = 5\).

📌 The number of terms \(n\) is given by the formula for the \(n\)-th term of an arithmetic sequence:

📌 l = a + (n-1) \cdot d \implies 9995 = 1000 + (n-1) \cdot 5

📌 = (n-1) \cdot 5 \implies n-1 = 1799 \implies n = 1800

📌 There are \(\boxed{1800}\) positive 4-digit numbers divisible by 5.

📌 What is the sum of the distinct prime factors of 360?

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