OEIS A000005: The Divisor Function

Dive into d(n), the divisor function that counts how many positive divisors a number has. Learn how, if n = ∏ p_i^{a_i}, then d(n) = ∏ (a_i + 1), making it a multiplicative friend of prime factorization. We'll also touch on divisor pairs, sigma(n) (the sum of divisors), and peek at how these ideas connect to bigger questions in number theory, including Robin’s theorem and the Riemann Hypothesis. Check out the OEIS entry for concrete values and properties you can explore on your own.

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