What is is 19 and 23 weird?

Okay, here's some information about whether 19 and 23 are considered "weird" in mathematics, presented in markdown format:


Are 19 and 23 Weird Numbers?

Whether a number is "weird" has a specific mathematical definition. A weird number is a number that is abundant (the sum of its proper divisors is greater than the number itself) but not a semiperfect number (cannot be written as the sum of some or all of its proper divisors).

  • 19: The proper divisors of 19 are just 1. The sum of its proper divisors is 1, which is less than 19. Therefore, 19 is a deficient number, not an abundant number, and thus not a weird number.

  • 23: Similar to 19, the proper divisors of 23 are just 1. The sum of its proper divisors is 1, which is less than 23. Therefore, 23 is also a deficient number, not an abundant number, and thus not a weird number.

In conclusion, neither 19 nor 23 fit the mathematical definition of a "weird number." They are both prime numbers and, as such, are deficient.