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A245316 Concatenate n-th composite integer with concatenation of its prime factors in ascending order and the sum of its prime factors. 3
4224, 6235, 82226, 9336, 10257, 122237, 14279, 15358, 1622228, 182338, 202259, 213710, 2221113, 2422239, 255510, 2621315, 273339, 2822711, 3023510, 322222210, 3331114, 3421719, 355712, 36223310, 3821921, 3931316 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Jens Kruse Andersen, Table of n, a(n) for n = 1..10000

EXAMPLE

a(2)=6235 since 6=2*3, 2+3=5 and 6 is the second composite integer.

MATHEMATICA

f[n_]:=FactorInteger[n]; con[A_]:=(v1={}; l=Length[A]; Do[v1=Join[v1, IntegerDigits[A[[k]]]], {k, l}]; FromDigits[v1]); alfa[n_]:=(b=f[n]; j=Length[b]; c=Table[Table[b[[k]][[1]], {b[[k]][[2]]}], {k, j}]; w={}; Do[w=Join[w, c[[k]]], {k, j}]; con[w]); omega[n_]:=(b=f[n]; j=Length[b]; c=Table[Table[b[[k]][[1]], {b[[k]][[2]]}], {k, j}]; w={}; Do[w=Join[w, c[[k]]], {k, j}]; Total[w]); nao[n_]:=con[{n, alfa[n], omega[n]}]; v=Select[Range[2, 1000], !PrimeQ[#]&]; Table[nao[v[[k]]], {k, 26}]

compcat[n_]:=Module[{f=Flatten[Table[#[[1]], #[[2]]]&/@FactorInteger[ n]]}, FromDigits[ Join[IntegerDigits[n], Flatten[ IntegerDigits/@ f], IntegerDigits[ Total[f]]]]]; compcat/@Select[Range[40], CompositeQ] (* Harvey P. Dale, Dec 31 2021 *)

CROSSREFS

Cf. A002808, A245315.

Sequence in context: A067140 A283725 A109488 * A046335 A046383 A188789

Adjacent sequences: A245313 A245314 A245315 * A245317 A245318 A245319

KEYWORD

nonn,base

AUTHOR

Jahangeer Kholdi, Sep 15 2014

STATUS

approved

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Last modified December 7 08:24 EST 2022. Contains 358649 sequences. (Running on oeis4.)