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- Arithmetic_number abstract "In number theory, an arithmetic number is an integer for which the arithmetic mean of its positive divisors, is an integer. The first numbers in the sequence are 1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20 (sequence A003601 in OEIS). It is known that the natural density of such numbers is 1: indeed, the proportion of numbers less than X which are not arithmetic is asymptoticallywhere c = 2 √ log 2 + o(1).A number N is arithmetic if the number of divisors d(N) divides the sum of divisors σ(N). It is known that the density of integers N for which d(N)2 divides σ(N) is 1/2.".
- Arithmetic_number wikiPageID "36551969".
- Arithmetic_number wikiPageRevisionID "557574512".
- Arithmetic_number hasPhotoCollection Arithmetic_number.
- Arithmetic_number subject Category:Divisor_function.
- Arithmetic_number subject Category:Integer_sequences.
- Arithmetic_number subject Category:Unsolved_problems_in_mathematics.
- Arithmetic_number comment "In number theory, an arithmetic number is an integer for which the arithmetic mean of its positive divisors, is an integer. The first numbers in the sequence are 1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20 (sequence A003601 in OEIS). It is known that the natural density of such numbers is 1: indeed, the proportion of numbers less than X which are not arithmetic is asymptoticallywhere c = 2 √ log 2 + o(1).A number N is arithmetic if the number of divisors d(N) divides the sum of divisors σ(N).".
- Arithmetic_number label "Arithmetic number".
- Arithmetic_number sameAs m.0kg2cm1.
- Arithmetic_number sameAs Q4791129.
- Arithmetic_number sameAs Q4791129.
- Arithmetic_number wasDerivedFrom Arithmetic_number?oldid=557574512.
- Arithmetic_number isPrimaryTopicOf Arithmetic_number.