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College+ · Number Theory

Arithmetic functions

73 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    Let n=22n=22, the product of the distinct primes 22 and 1111. Compute σ(n)\sigma(n), the sum of all positive divisors of nn.

  2. Warm-up

    Let n=14n=14, the product of the distinct primes 22 and 77. Compute σ(n)\sigma(n), the sum of all positive divisors of nn.

  3. Warm-up

    Let n=10n=10, the product of the distinct primes 22 and 55. Compute σ(n)\sigma(n), the sum of all positive divisors of nn.

Problems shown under their original terms: Generated (template, solver-computed).

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