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Divisibility-based sets of integers
Overview
Integer factorization
·
Divisor
·
Unitary divisor
·
Divisor function
·
Prime factor
·
Fundamental theorem of arithmetic
Forms of factorization
Prime number
·
Composite number
·
Semiprime number
·
Pronic number
·
Sphenic number
·
Square-free number
·
Powerful number
·
Perfect power
·
Achilles number
·
Smooth number
·
Regular number
·
Rough number
·
Unusual number
Constrained divisor sums
Perfect number
·
Almost perfect number
·
Quasiperfect number
·
Multiply perfect number
·
Hyperperfect number
·
Superperfect number
·
Unitary perfect number
·
Semiperfect number
·
Primitive semiperfect number
·
Practical number
Numbers with many divisors
Abundant number
·
Primitive abundant number
·
Highly abundant number
·
Superabundant number
·
Colossally abundant number
·
Highly composite number
·
Superior highly composite number
·
Weird number
Numbers related
to
aliquot sequences
Untouchable number
·
Amicable number
·
Sociable number
Other
Deficient number
·
Friendly number
·
Solitary number
·
Sublime number
·
Harmonic divisor number
·
Frugal number
·
Equidigital number
·
Extravagant number
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