

A097030


Numbers in the cycleattractors of length=14 if the function f(x)=A063919(x) is iterated; f(x) is the sum of unitary proper divisors.


21



2418, 2958, 3522, 3534, 3582, 3774, 3906, 3954, 3966, 3978, 4146, 4158, 4434, 4446, 24180, 29580, 35220, 35238, 35340, 35820, 37740, 38682, 39060, 39540, 39660, 39780, 41460, 41580, 44340, 44460, 45402, 49878, 65190, 65322, 74430, 74610, 74790, 98106, 101478, 117258, 117270, 117450
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OFFSET

1,1


COMMENTS

This sequence collects 14cycleattractor elements for iteration of sumproperunitarydivisors.
A002827 provides 1cycle terms = unitary perfect numbers.
A063991 gives 2cycle elements = unitary amicable numbers.
A097024 collects true 5cycle elements, i.e., terms in endcycle of length 5 when A063919(x) function is iterated.
Concerning 3cycle elements, only {30,42,54} were encountered.


LINKS



EXAMPLE

These 42 numbers are in 3 different 14cycles. The first is: [2418, 2958, 3522, 3534, 4146, 4158, 3906, 3774, 4434, 4446, 3954, 3966, 3978, 3582]. [edited by Michel Marcus, Sep 29 2018]


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



