The Divisor Functions
Some numbers have few divisors, such as primes, and some numbers have many divisors, such as powers of 2. The number of divisors, although it fluctuates wildly from one integer to the next, obeys some interesting rules, and averages are quite predictable, as we shall see below.
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- 10.1G. H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 5th ed., Sect. 18. 2 ( Clarendon, Oxford 1984 )Google Scholar