Common and uncommon numbers

[Tanya Khovanova]

8795 is 

Apocalyptic power, Composite, Deficient, Happy, Odd, Odious,
Square-free, so it should appear in b-files for these sequences.

9935 is

Composite, Deficient, Odd, Odious, Square-free.

In general every number should appear in one sequence out of each set
below:

1. Prime, composite (except zero and one)
2. prefect, deficient, abundant
3. even, odd
4. evil, odious.

Can you suggest other sets that of sequences that cover all integers
together? If we expand sequences in OEIS what is the minimum number of
sequences M such that any number is guaranteed to belong to at least M
sequences?

Tanya


--- "T. D. Noe" <noe at sspectra.com> wrote:

> The two least common numbers
> are 8795
> and 9935, which do not occur in any sequence in OEIS (yet).
> 
> Happy New Year!
> 
> Tony
> 
>