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Quasi-sociable numbers or reduced sociable numbers are numbers whose aliquot sums minus one form a cyclic sequence that begins and ends with the same number. They are generalizations of the concepts of betrothed numbers and quasiperfect numbers. The first quasi-sociable sequences, or quasi-sociable chains, were discovered by Mitchell Dickerman ...
For the Love of Dogs has won a number of awards. The show has won two consecutive National Television Awards for 'Most Popular Factual Entertainment Programme' in 2013 and 2014 . In 2014, it was nominated for a third National Television Award , this time under the category 'Most Popular Factual Programme', but lost out to Gogglebox . [ 4 ]
The period of the sequence, or order of the set of sociable numbers, is the number of numbers in this cycle. If the period of the sequence is 1, the number is a sociable number of order 1, or a perfect number—for example, the proper divisors of 6 are 1, 2, and 3, whose sum is again 6. A pair of amicable numbers is a set of sociable numbers of ...
where n > 1 is an integer and p, q, r are prime numbers, then 2 n × p × q and 2 n × r are a pair of amicable numbers. This formula gives the pairs (220, 284) for n = 2, (17296, 18416) for n = 4, and (9363584, 9437056) for n = 7, but no other such pairs are known. Numbers of the form 3 × 2 n − 1 are known as Thabit numbers.
Dogs is a 2018 American documentary television series which premiered on Netflix. [1] The series, created by Glen Zipper , [ 2 ] was released on November 16, 2018. The first season contains six episodes, roughly 50 minutes apiece.
See Spot solve a murder! Cops in Alabama are investigating the murder of an unknown man after a pair of mutts were found playing with a human skull with a single bullet hole.
Despite having two types of terminal cancer, the 11-and-a-half-year-old dog radiated happiness at the wedding. She walked her mother down the aisle, had a daddy-daughter dance and wore a tutu made ...
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