What is is 19 and 26 weird?

Are 19 and 26 Weird Numbers?

To determine if 19 and 26 are weird numbers, we need to understand what a weird number is. A weird number is a composite number (a number with divisors other than 1 and itself) that is abundant (the sum of its proper divisors is greater than the number itself) but not a perfect number (the sum of its proper divisors is equal to the number itself) or a sum of its proper divisors.

Let's analyze each number:

19:

• The divisors of 19 are 1 and 19.
• The proper divisor of 19 is 1.
• The sum of the proper divisors of 19 is 1.
• Since 1 < 19, 19 is not an abundant number.
• Therefore, 19 is not a weird number. 19 is a prime number.

26:

• The divisors of 26 are 1, 2, 13, and 26.
• The proper divisors of 26 are 1, 2, and 13.
• The sum of the proper divisors of 26 is 1 + 2 + 13 = 16.
• Since 16 < 26, 26 is not an abundant number.
• Therefore, 26 is not a weird number.