A276699 Numbers n such that Sum_{q|n} 0.q is an integer where q ranges over the aliquot parts of n.
14, 297, 869, 1241, 1349, 1541, 1769, 1829, 1961, 2021, 82091, 88931, 98171, 100739, 105779, 111899, 116651, 122411, 125771, 130139, 135419, 139499, 150971, 152771, 157979, 158819, 165251, 169739, 173939, 174611, 177851, 182051, 183731, 188339, 189731, 193091
Offset: 1
Examples
Aliquot parts of 14 are 1, 2, 7 and 0.1 + 0.2 + 0.7 = 1; Aliquot parts of 297 are 1, 3, 9, 11, 27, 33, 99 and 0.1 + 0.3 + 0.9 + 0.11 + 0.27 + 0.33 + 0.99 = 3;
Links
- Paolo P. Lava, Table of n, a(n) for n = 1..48
Programs
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Maple
with(numtheory): P:= proc(q) local a,n; for n from 2 to q do a:=sort([op(divisors(n))]); if type(add(a[k]/10^(ilog10(a[k])+1),k=1..nops(a)-1),integer) then print(n); fi; od; end: P(10^9);
Comments