Kyle Zhang

collaborators

2 papers

math.NT2026

Complete characterization of $2$ -near perfect numbers with exactly 2 prime factors

Richard Fearon, Henry Foushee, Benjamin Porosoff +3

Let $I ¨ (n)$ be the sum of the positive divisors of $n$ . A positive integer $n$ is said to be $2$ -near perfect when $I ¨ (n) = 2 n + d_{1} + d_{2}$ , where $d_{1}$ and $d_{2}$ are distinct positive d…

math.NT2025

Kullback-Leibler divergence and primitive non-deficient numbers

Joshua Zelinsky, Kyle Zhang

Let $H (n) = \prod_{p ∣ n} \frac{p}{p - 1}$ where $p$ ranges over the primes which divide $n$ . It is well known that if $n$ is a primitive non-deficient number, then $H (n) > 2$ . We exami…

Complete characterization of 2-near perfect numbers with exactly 2 prime factors

Kullback-Leibler divergence and primitive non-deficient numbers

Complete characterization of $2$ -near perfect numbers with exactly 2 prime factors