Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!utgpu!utcsri!arvind From: arvind@utcsri.UUCP Newsgroups: ut.theory Subject: THEORY NET: divisors of an integer Message-ID: <5229@utcsri.UUCP> Date: Mon, 10-Aug-87 21:23:48 EDT Article-I.D.: utcsri.5229 Posted: Mon Aug 10 21:23:48 1987 Date-Received: Tue, 11-Aug-87 06:24:38 EDT Distribution: ut Organization: CSRI, University of Toronto Lines: 14 Date: Mon 10 Aug EDT 1987 14:25 From: Andrew Odlyzko Subject: divisors of an integer Carl Pomerance has pointed out that there is a paper of Erdos, Elem. Math. 28 (1973), 83-86, which deals with this question. In particular, Erdos shows that the density of even integers that are equal to the sum of aliquot divisors of some integer is stricly less than 1/2. [ I was remiss in not rewriting Sid Graham's address -- he can be reached at swgraham@mtuvaxb on bitnet Victor ]