Difference between revisions of "2021 AIME I Problems/Problem 14"
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==Problem== | ==Problem== | ||
− | For any positive integer <math>a, | + | For any positive integer <math>a, \sigma(a)</math> denotes the sum of the positive integer divisors of <math>a</math>. Let <math>n</math> be the least positive integer such that <math>\sigma(a^n)-1</math> is divisible by <math>2021</math> for all positive integers <math>a</math>. What is the sum of the prime factors in the prime factorization of <math>n</math>? |
==Solution== | ==Solution== |
Revision as of 16:51, 11 March 2021
Problem
For any positive integer denotes the sum of the positive integer divisors of . Let be the least positive integer such that is divisible by for all positive integers . What is the sum of the prime factors in the prime factorization of ?
Solution
See also
2021 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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