27596 is a member of OEIS A245370: number of compositions of n into parts 3, 5 and 9, here n=54 and so an example of such a composition is 3, 3, 9, 3, 3, 9, 3, 9, 3, 9.

The sequence can be generated using the generating function

1/(1-x^3-x^5-x^9) thus:

INPUT

number=27596

L=[]

F=1/(1-x^3-x^5-x^9)

P=taylor(F,x,0,70).coefficients()

for p in P:

  L.append(p[0])

  if p[0]==number:

    print(p[1],"has",p[0],"compositions containing 3, 5 or 9 only")

OUTPUT

54 has 27596 compositions containing 3, 5 or 9 only.

27596 requires 41 steps to reach its home prime of 111317891991083169831208974395518797434561116805592648359439870949

27596 is a xenodrome in base 10 as well as in bases 8, 9, 12, 13, 14 and 15.

27596 is a plaindrome in base 16 (6bcc).

27596 cannot be rendered as a digit equation: *NO_EQUATION*