A360562 a(n) is the least k such that k*n is a Zumkeller number (A083207).

6, 3, 2, 3, 4, 1, 4, 3, 6, 2, 6, 1, 6, 2, 2, 3, 6, 3, 6, 1, 2, 3, 6, 1, 6, 3, 2, 1, 6, 1, 6, 3, 2, 3, 2, 3, 6, 3, 2, 1, 6, 1, 6, 2, 2, 3, 6, 1, 6, 3, 2, 2, 6, 1, 4, 1, 2, 3, 6, 1, 6, 3, 2, 3, 4, 1, 6, 3, 2, 1, 6, 3, 6, 3, 2, 3, 4, 1, 6, 1, 6, 3, 6, 1, 4, 3, 2

Offset: 1

Author

Rémy Sigrist, Feb 11 2023

Keywords

• nonn

Comments

This sequence is well defined (see A360561).

The values among the first 200000 terms are distributed as follows:

v # of occurrences

- ----------------

1 45927

2 45015

3 41953

4 18109

5 10

6 48986

Crossrefs

Cf. A083207, A360561.

Programs

PARI

a(n) = { for (k=1, oo, if (is(k*n), return (k))) } \\ see A083207 for the function "is"

Formula

1 <= a(n) <= 6.

a(n) = A360561(n) / n.

a(n) = 1 iff n belongs to A083207.