This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A287246 #8 Jun 02 2025 12:22:12
%S A287246 77753398058,94151657522,98497118618,105654348614,107396027126,
%T A287246 107978124554,112402593722,112536300194,113395841738,113591877506,
%U A287246 113834039318,113903752562,114541896698,114637401218,114663447902,114856499738,115175241854,115246892846,115271202986
%N A287246 Numbers whose sum of proper divisors is equal to 57939481594.
%C A287246 The number 57939481594 is the 44th element of A283157. That is, no even number below it has more preimages under the sum-of-proper-divisors function.
%C A287246 There are exactly 94 elements in the sequence.
%C A287246 In 2016, C. Pomerance proved that, for every e>0, the number of preimages is O_e(n^{2/3+e}).
%C A287246 Conjecture: there exists a positive real number k such that the number of preimages of an even number n is O((log n)^k).
%H A287246 Anton Mosunov, <a href="/A287246/b287246.txt">Table of n, a(n) for n = 1..94</a>
%H A287246 C. Pomerance, <a href="https://math.dartmouth.edu/~carlp/aliquot.pdf">The first function and its iterates</a>, A Celebration of the Work of R. L. Graham, S. Butler, J. Cooper, and G. Hurlbert, eds., Cambridge U. Press, to appear.
%e A287246 a(1) = 77753398058, because it is the smallest number whose sum of proper divisors is equal to 57939481594: 1 + 2 + 7 + 14 + 49 + 98 + 6793 + 13586 47551 + 95102 + 116797 + 233594 + 332857 + 665714 + 817579 + 1635158 + 5723053 + 11446106 + 793402021 + 1586804042 + 5553814147 + 11107628294 + 38876699029 = 57939481594.
%Y A287246 Cf. A001065, A283156, A283157, A287233, A287238, A287247, A287251, A287262.
%K A287246 fini,full,nonn
%O A287246 1,1
%A A287246 _Anton Mosunov_, May 22 2017