A083899 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A083899

Number of divisors of n with largest digit <= 4 (base 10).

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

FORMULA

a(n) = A083898(n) + A083891(n) = A083900(n) - A083892(n).

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = Sum_{k>=1} 1/A007091(k) = 3.92521682598923397031... . - Amiram Eldar, Jan 04 2024

MATHEMATICA

a[n_] := DivisorSum[n, 1 &, Max[IntegerDigits[#]] <= 4 &]; Array[a, 100] (* Amiram Eldar, Jan 04 2024 *)

CROSSREFS

Cf. A054055, A000005, A007091, A083891, A083892, A083898, A083900.