The term "weird number" also refers to a phenomenon in two's complement arithmetic.
Euler diagram of numbers under 100:
Abundant
Primitive abundant
Highly abundant
Superabundant and highly composite
Colossally abundant and superior highly composite
Weird
Perfect
Composite
Deficient
In number theory, a weird number is a natural number that is abundant but not semiperfect.[1][2] In other words, the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to the number itself.
^
Benkoski, Stan (August–September 1972). "E2308 (in Problems and Solutions)". The American Mathematical Monthly. 79 (7): 774. doi:10.2307/2316276. JSTOR 2316276.
^Richard K. Guy (2004). Unsolved Problems in Number Theory. Springer-Verlag. ISBN 0-387-20860-7. OCLC 54611248. Section B2.
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