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For example, (1980, 2016, 2556) is an amicable triple (sequence A125490 in the OEIS), and (3270960, 3361680, 3461040, 3834000) is an amicable quadruple (sequence A036471 in the OEIS). Amicable multisets are defined analogously and generalizes this a bit further (sequence A259307 in the OEIS ).
In mathematics, sociable numbers are numbers whose aliquot sums form a periodic sequence.They are generalizations of the concepts of perfect numbers and amicable numbers.The first two sociable sequences, or sociable chains, were discovered and named by the Belgian mathematician Paul Poulet in 1918. [1]
The definition given seems to be the usual one, but seems to have a problem with primes. The sum of the proper divisors of any prime is 1 so all primes would be amicable, but they are not usually considered so (otherwise the first two sociable numbers would be 2 and 3).
We mean it. Read no further until you really want some clues or you've completely given up and want the answers ASAP. Get ready for all of today's NYT 'Connections’ hints and answers for #619 on ...
Alvina is an English female given name with the meaning "elf friend", "amicable", "friendly". In English it is the feminine form of Alvin, ...
Hints and the solution for today's Wordle on Monday, February 10.
The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ 1 or the aliquot sum function s in the following way: [1] = = = > = = = If the s n-1 = 0 condition is added, then the terms after 0 are all 0, and all aliquot sequences would be infinite, and we can conjecture that all aliquot sequences are convergent, the limit of these ...
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