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

Author

Paolo P. Lava, Sep 15 2016

Keywords

• nonn
• base

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.

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

Crossrefs

Cf. A276465, A276655, A276700.

Programs

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);