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

1,1

Comments

Mainly numbers ending in 1 or 9.

So far Sum{q | n} 0.q is generally equal to 1 apart from 297 with 3 and 235569 with 6.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..48

Example

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;

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);

Crossrefs

Cf. A276465, A276655, A276700.

Sequence in context: A116165 A186376 A034834 * A258491 A251220 A205619

Adjacent sequences: A276696 A276697 A276698 * A276700 A276701 A276702

Keyword

nonn,base

Author

Paolo P. Lava, Sep 15 2016

Status

approved