MathDB
Nice integers smaller than 3000

Source: Bangladesh Mathematical Olympiad 2021 Problem 9

February 26, 2022
number theorycombinatorics

Problem Statement

A positive integer nn is called nice if it has at least 33 proper divisors and it is equal to the sum of its three largest proper divisors. For example, 66 is nice because its largest proper divisors are 3,2,13,2,1 and 6=3+2+16=3+2+1. Find the number of nice integers not greater than 30003000.
Back to ProblemsView on AoPS