Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a variant of the happy numbers and their generalizations   This paper investigates a variant of the famous "happy numbers" sequence,
given by A351327 on the oeis. First of all we'll define this integer sequence,
and then we'll show some important results about it; in particular we
conjectured that if $k$ is a term of the sequence, then it converges to 1 in a
number of steps less or equal to 3. Furthermore it will be possible to find
some codes written in Wolfram language in order to compute large terms of the
sequence and to support our hypothesis. At the end we'll explore some new
conjectures and generalizations about this kind of integer sequence.

13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph