What is is 20 and 17 weird?

Here's some information about why 20 and 17 might be considered "weird" numbers, focusing on various mathematical and cultural interpretations:

  • Mathematical Weirdness: In number theory, a "weird number" is a natural number that is abundant (the sum of its proper divisors is greater than the number itself) but not a semiperfect number (no subset of its proper divisors sums to the number itself).

    • While the concept of a <a href="https://www.wikiwhat.page/kavramlar/weird%20number">weird number</a> is well-defined, 20 and 17 do not fit this specific definition.
  • 20:

    • 20 is an abundant number since the sum of its proper divisors (1 + 2 + 4 + 5 + 10 = 22) is greater than 20.
    • However, 20 is a semiperfect number. (2 + 18=20, 4+16=20, 5+15=20)
    • Therefore, 20 is not a weird number in the strict mathematical sense.
    • In a cultural context, 20 might be significant as a round number relating to age (twenties), decades, or systems based on 20 (like the Mayan numeral system).
  • 17:

    • 17 is a prime number.
    • The sum of its proper divisors is 1 which is not greater than 17. Thus, it's a deficient number, not abundant.
    • 17 is not a <a href="https://www.wikiwhat.page/kavramlar/semiperfect%20number">semiperfect number</a>.
    • 17 is not a weird number in the strict mathematical sense.
    • 17 has cultural connotations, sometimes associated with bad luck or superstition in some regions. This perception can make it seem "weird" in a non-mathematical sense.