In mathematics, a "weird number" is a type of number that has specific properties related to its divisors. A number is classified as weird if it is an abundant number (the sum of its proper divisors is greater than the number itself) and it is not semiperfect (no subset of its proper divisors sums to the number itself).
For example:
19 is not weird. It is a prime number, so its only divisors are 1 and 19. The sum of its proper divisors (just 1) is 1, which is less than 19. Therefore, it is not abundant, and as such, it cannot be classified as weird.
22 is also not weird. Its divisors are 1, 2, 11, and 22. The sum of its proper divisors (1 + 2 + 11 = 14) is less than 22, so 22 is not abundant and cannot be a weird number.
Typically, weird numbers are larger, and the smallest weird number is 70.
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