A083900 Number of divisors of n with largest digit <= 5 (base 10).

1, 2, 2, 3, 2, 3, 1, 3, 2, 4, 2, 5, 2, 3, 4, 3, 1, 3, 1, 6, 3, 4, 2, 6, 3, 3, 2, 4, 1, 7, 2, 4, 4, 3, 3, 5, 1, 2, 3, 7, 2, 6, 2, 6, 5, 3, 1, 6, 1, 6, 3, 5, 2, 4, 4, 4, 2, 2, 1, 10, 1, 3, 3, 4, 3, 6, 1, 4, 3, 6, 1, 6, 1, 2, 5, 3, 2, 4, 1, 7, 2, 3, 1, 8, 2, 3, 2, 6, 1, 8, 2, 4, 3, 2, 2, 7, 1, 3, 4, 9, 2, 6, 2, 6, 7

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = A083899(n) + A083892(n) = A083901(n) - A083893(n).

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = Sum_{k>=1} 1/A007092(k) = 5.25448032967060504709... . - Amiram Eldar, Jan 04 2024

Mathematica

Table[Count[Divisors[n], _?(Max[IntegerDigits[#]]<6&)], {n, 110}] (* Harvey P. Dale, Feb 02 2015 *)

Crossrefs

Cf. A054055, A000005, A007092, A083892, A083893, A083899, A083901.

Sequence in context: A261653 A347658 A343387 * A369030 A113517 A278399

Adjacent sequences: A083897 A083898 A083899 * A083901 A083902 A083903

Keyword

nonn,base

Author

Reinhard Zumkeller, May 08 2003

Status

approved