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Perfect Number

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A perfect number is a positive integer that equals the sum of its divisors.

Perfect number is a college-level concept that would be first encountered in a number theory course.

Prerequisites

Divisor: An integer that divides a given integer with no remainder. A synonym for factor.
Divisor Function: The divisor function of order k is the number theoretic function that gives the sum of kth powers of divisors of a given integer.
Prime Factorization: Prime factorization is the factorization of a number into its constituent primes. Also called prime decomposition.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
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  • Partition
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  • Continued Fraction
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  • Prime Counting Function
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  • Convergent
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  • Prime Factorization Algorithms
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  • Diophantine Equation
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  • Prime Number Theorem
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  • Euclidean Algorithm
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  • Quadratic Reciprocity Theorem
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  • Euler-Mascheroni Constant
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  • Squarefree
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  • Fermat's Last Theorem
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  • Totient Function
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  • Number Theory
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  • Transcendental Number
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