2023/10/02 by Aryan, Vedant, Madhavani, Dev, Parikh, Savan +2 · 1 citation
#11A25 #11N25 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2310.01305
Let σ(n) be the sum of the positive divisors of n. A number n is said to be 2-near perfect if σ(n) = 2n +d1 +d2 , where d1 and d2 are distinct positive divisors of n. We give a complete description of those n which are 2-near perfect and of the form n=2k pi where p is prime and i ∈ \1,2\. We also prove related results under the additional restriction where d1d2=n.