cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A276465 Divisors of 16450.

Original entry on oeis.org

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

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Author

Jaroslav Krizek, Sep 04 2016

Keywords

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.

Crossrefs

Subsequences include A018262, A018270, A018319, A018406, A018472, and A018577.
Cf. A276466, A276467.

Programs

  • Magma
    Divisors(16450)
  • Mathematica
    Divisors@ 16450 (* generates sequence *)
Total@(#*1/10^(1 + Floor@ Log10@ #)) &@ Divisors@ 16450 (* illustrates comment, Michael De Vlieger, Sep 04 2016 *)
  • PARI
    divisors(16450) \\ Michel Marcus, Sep 04 2016

Formula

A276467(16450) = 1.
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