A276465 Divisors of 16450.

1, 2, 5, 7, 10, 14, 25, 35, 47, 50, 70, 94, 175, 235, 329, 350, 470, 658, 1175, 1645, 2350, 3290, 8225, 16450

Offset

1,2

Comments

Conjecture: 16450 is the only number such that Sum_{d | n} 0.d is an integer, where 0.d means the decimal fraction of divisors d of n obtained by writing d after the decimal point:

0.1 + 0.2 + 0.5 + 0.7 + 0.10 + 0.14 + 0.25 + 0.35 + 0.47 + 0.50 + 0.70 + 0.94 + 0.175 + 0.235 + 0.329 + 0.350 + 0.470 + 0.658 + 0.1175 + 0.1645 + 0.2350 + 0.3290 + 0.8225 + 0.16450 = 9.

There are no other numbers with this property <= 5*10^7.

Links

Table of n, a(n) for n=1..24.

Formula

A276467(16450) = 1.

Mathematica

Divisors@ 16450 (* generates sequence *)
Total@(#*1/10^(1 + Floor@ Log10@ #)) &@ Divisors@ 16450 (* illustrates comment, Michael De Vlieger, Sep 04 2016 *)

Prog

(Magma) Divisors(16450)
(PARI) divisors(16450) \\ Michel Marcus, Sep 04 2016

Crossrefs

Subsequences include A018262, A018270, A018319, A018406, A018472, and A018577.

Cf. A276466, A276467.

Sequence in context: A161580 A024177 A360456 * A018406 A018483 A018270

Adjacent sequences: A276462 A276463 A276464 * A276466 A276467 A276468

Keyword

nonn,base,fini,full

Author

Jaroslav Krizek, Sep 04 2016

Status

approved