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Amiram Eldar, <a href="/A337740/b337740.txt">Table of n, a(n) for n = 1..10000</a>
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73616 is a term since sigma(73616) = 147312 is even and larger than 2 * 73616 = 147232. No subset of the aliquot divisors of 73616 sum sums to 73616 or to sigma(73616)/2 = 73656.