Problem #WSP-000087

Problems Number Theory

Problem

You meet an alien, who you learn is thinking of a positive integer n. They ask the following three questions.

“Am I the kind who could ask whether n is divisible by no primes other than 2 or 3?"

“Am I the kind who could ask whether the sum of the divisors of n (including 1 and n themselves) is at least twice n?"

“Is n divisible by 3?"

Is this alien a Crick or a Goop?