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NuMbEr ThEoReTic FuNcTiOnS

DEFINITION
Given a positive integer n, let denote the number of positive divisor of n and denote the sum of this divisors.

  • - The number of positive divisor of n
  • - The sum of the positive divisor of n

Example:

  1. n=6
    The divisions of 6 are 1,2,3,6
    So, T (n) = 4, σ (n) = 12
  2. n=12
    The divisions of 12 are 1,2,3,4,6,12
    So, T (n) = 6, σ (n) = 28
  3. n=100
    the divisions of 100 are 1,2,4,5,10,20,25,50,100
    So, T (n) = 9, σ (n) = 217

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