It seems like the observation that all known weird numbers are even is almost built-in to the definition of weirdness.
Having two as a prime factor is the single most effective way to increase the number of integer divisors, as it is the smallest integer that you can multiply by a larger prime to get a product different from both operands. If there is an odd weird number larger than 10^21, the first one found would probably be divisible by 3.
Finding the first primitive odd weird number seems like something you could put on a CV.
Having two as a prime factor is the single most effective way to increase the number of integer divisors, as it is the smallest integer that you can multiply by a larger prime to get a product different from both operands. If there is an odd weird number larger than 10^21, the first one found would probably be divisible by 3.
Finding the first primitive odd weird number seems like something you could put on a CV.