What is is 19 and 23 weird?

Certainly! In the context of mathematics, the term "weird" typically refers to a special kind of number rather than specific numbers like 19 and 23. A weird number is defined as a natural number that is abundant but not semiperfect.

To break this down:

• A natural number is a positive integer (1, 2, 3, etc.).
• An abundant number is a number for which the sum of its proper divisors (excluding the number itself) is greater than the number.
• A semiperfect number (also known as a pseudoperfect number) is one where some subset of its proper divisors sums to exactly the number.

Therefore, a weird number is abundant, yet no subset of its proper divisors sums to the number itself.

Regarding the specific numbers you mentioned:

• 19 and 23 are both prime numbers. Prime numbers only have two divisors: 1 and themselves. Because of this, their proper divisors do not sum to a value greater than themselves, thus neither 19 nor 23 is abundant. Consequently, they cannot be weird numbers since they are not even abundant.

Weird numbers are less commonly encountered than some other types of numbers, and they typically exhibit larger and composite figures, such as 70 or 836.