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Home » Question: What is the sum of all the squares of the divisors of $ 12 $? - Crosslake

Question: What is the sum of all the squares of the divisors of $ 12 $? - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 But if the total tremors up to hour 3 are 48 (integrated), then total = $ k(\frac{1}{1} + \frac{1}{2} + \frac{1}{3}) \approx k(1 + 0.5 + 0.333) = k(1.833) $.

📌 Given 48 in first hour, total up to hour 3 is $ 48 + 24 + 16 + 8 $? Wait — better interpretation: if frequency in hour $ t $ is $ k/t $, and total in hour 1 is $ k/1 = 48 $, so $ k = 48 $.

📌 Then in hour 3, frequency = $ 48/3 = 16 $.

📌 Thus, 16 aftershocks are expected in the third hour.

📌 A theoretical physicist demonstrates energy levels in a quantum model where the energy of a particle in the nth state is $ E_n = -13.6/n^2 $ eV. What is the energy difference between the n=2 and n=3 states?

📌 For $ n=2 $: $ E_2 = -13.6 / 2^2 = -13.6 / 4 = -3.4 $ eV.

📌 For $ n=3 $: $ E_3 = -13.6 / 3^2 = -13.6 / 9 \approx -1.511 $ eV.

📌 The energy difference is $ \Delta E = E_2 - E_3 = -3.4 - (-1.511) = -3.4 + 1.511 = -1.889 $ eV.

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