importantSYS.SOURCE: Eli Bendersky's website• 2026-09-15T13:25:38Z

Estimating the Magnitude of Factorials Using Mathematical Approximations

#factorials #stirlings-approximation #mathematics #logarithms

The article explains how to estimate the number of digits in a factorial using Stirling's approximation and mathematical analysis. It derives the formula n log10(n/e) + 2, demonstrating its accuracy through examples like 52!.

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> CURATED VIDEO PLATFORM LEVERAGING HACKER NEWS RECOMMENDATIONS > NES CONTRA (1987) NATIVE PORT VIA WEBASSEMBLY > CRITICAL LINUX IPV4 TCP USE-AFTER-FREE VULNERABILITY CVE-2026-98432 WITH CVSS 9.8 SEVERITY > RESPONSIBLE DISCLOSURE OF CPU SIDE-CHANNEL VULNERABILITIES AND ETHICAL RESPONSIBILITIES IN COMPUTER SECURITY > GPT-5.6 SOL COMPLETES PEACEFUL FACTORIO RUN IN 13.5 HOURS > MEMORY LATENCY'S IMPACT ON CPU UTILIZATION IN DATABASE GROUP BY OPERATIONS > THE IMPACT OF GENERATIVE AI ON CRITICAL THINKING: A SELF-REPORTED STUDY (2025)> WILLIAM NORDHAUS, NOBEL LAUREATE IN ECONOMICS, DIES AT 85 AFTER PIONEERING CLIMATE-ECONOMY RESEARCH > CYBERSECURITY BREACH EXPLOITS LED DISPLAY SOFTWARE VULNERABILITY ACROSS MULTIPLE COUNTRIES > US COPYRIGHT OFFICE CLARIFIES AI-GENERATED CONTENT COPYRIGHT ELIGIBILITY> CURATED VIDEO PLATFORM LEVERAGING HACKER NEWS RECOMMENDATIONS > NES CONTRA (1987) NATIVE PORT VIA WEBASSEMBLY > CRITICAL LINUX IPV4 TCP USE-AFTER-FREE VULNERABILITY CVE-2026-98432 WITH CVSS 9.8 SEVERITY > RESPONSIBLE DISCLOSURE OF CPU SIDE-CHANNEL VULNERABILITIES AND ETHICAL RESPONSIBILITIES IN COMPUTER SECURITY > GPT-5.6 SOL COMPLETES PEACEFUL FACTORIO RUN IN 13.5 HOURS > MEMORY LATENCY'S IMPACT ON CPU UTILIZATION IN DATABASE GROUP BY OPERATIONS > THE IMPACT OF GENERATIVE AI ON CRITICAL THINKING: A SELF-REPORTED STUDY (2025)> WILLIAM NORDHAUS, NOBEL LAUREATE IN ECONOMICS, DIES AT 85 AFTER PIONEERING CLIMATE-ECONOMY RESEARCH > CYBERSECURITY BREACH EXPLOITS LED DISPLAY SOFTWARE VULNERABILITY ACROSS MULTIPLE COUNTRIES > US COPYRIGHT OFFICE CLARIFIES AI-GENERATED CONTENT COPYRIGHT ELIGIBILITY