Aliquot Novæ Plantæ ex Asia orientale
نویسندگان
چکیده
منابع مشابه
Aliquot Cycles of Repdigits
Here we show that the only aliquot cycle consisting only of rep-digits in base 10 is the cycle consisting of the perfect number 6. Generally, we show that if g is an even positive integer, then there are only finitely many aliquot cycles consisting entirely of repdigits in base g, which are, at least in principle, effectively computable.
متن کاملAdvances in aliquot sequences
In this paper we describe some advances in the knowledge of the behavior of aliquot sequences starting with a number less than 10000. For some starting values, it is shown for the first time that the sequence terminates. The current record for the maximum of a terminating sequence is located in the one starting at 4170; it converges to 1 after 869 iterations getting a maximum of 84 decimal digi...
متن کاملThe Aliquot Constant
Abstract. The average value of log s(n)/n taken over the first N even integers is shown to converge to a constant λ when N tends to infinity; moreover, the value of this constant is approximated and proven to be less than 0. Here s(n) sums the divisors of n less than n. Thus the geometric mean of s(n)/n, the growth factor of the function s, in the long run tends to be less than 1. This could be...
متن کاملThe Arbelos in n-Aliquot Parts
We generalize the classical arbelos to the case divided into many chambers by semicircles and construct embedded patterns of such arbelos.
متن کاملAmicable Pairs and Aliquot Sequences
This constant can, in fact, be rigorously calculated to 149 digits (and probably much higher accuracy if needed). Define () to be the th iterate of with starting value . The integer is amicable or 2-sociable if () = but () 6= . Such phrasing is based on older terminology [3]: two distinct integers , are said to form an “amicable pair” if () = and () = . The (infinite?) ...
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ژورنال
عنوان ژورنال: Shokubutsugaku Zasshi
سال: 1909
ISSN: 0006-808X,2185-3835
DOI: 10.15281/jplantres1887.23.268_99