What is is 22 and 19 weird?

Some consider 22 and 19 a "weird" or "amicable" pair in the context of number theory due to a specific property.

Here's why:

• Definition of Weird Numbers: A weird number is a number that is abundant (the sum of its proper divisors is greater than the number itself) but is not a sum of some of its proper divisors.

• Abundant Numbers: A number is abundant if the sum of its proper divisors (divisors excluding the number itself) is greater than the number itself.

• Semiperfect Numbers: A number is semiperfect if it can be expressed as the sum of some or all of its proper divisors.

Important Considerations

• Neither 22 nor 19 are weird numbers themselves.
• Weird numbers are a specific classification within number theory. The term "weird" is informal, as it simply refers to the mathematical definition.
• 19 is a prime number, so its only proper divisor is 1. Therefore, 19 is a deficient number.
• 22 is an abundant number as 1+2+11=14. However, 22 is a semiperfect number, not a weird number. 22= 11+2+1+8