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A075254 a(n) = n + (sum of primes factors of n taken with repetition). 10
1, 4, 6, 8, 10, 11, 14, 14, 15, 17, 22, 19, 26, 23, 23, 24, 34, 26, 38, 29, 31, 35, 46, 33, 35, 41, 36, 39, 58, 40, 62, 42, 47, 53, 47, 46, 74, 59, 55, 51, 82, 54, 86, 59, 56, 71, 94, 59, 63, 62, 71, 69, 106, 65, 71, 69, 79, 89, 118, 72, 122, 95, 76, 76, 83, 82, 134, 89, 95, 84, 142 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = n + A001414(n).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

a(6)=11 because 6=2*3, sopfr(6)=2+3=5 and 6+5=11.

MAPLE

A075254 := proc(n)

    n+A001414(n) ;

end proc: # R. J. Mathar, Jul 27 2015

PROG

(Haskell)

a075254 n = n + a001414 n  -- Reinhard Zumkeller, Feb 27 2012

(PARI) a(n) = my(f = factor(n)); n += sum(k=1, #f~, f[k, 1]*f[k, 2]); \\ Michel Marcus, Feb 22 2017

CROSSREFS

Cf. A001414, A008472, A075255.

Cf. A096461 (iteration).

Sequence in context: A090967 A272475 A184016 * A284913 A139203 A179372

Adjacent sequences:  A075251 A075252 A075253 * A075255 A075256 A075257

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 10 2002

STATUS

approved

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Last modified August 22 07:02 EDT 2017. Contains 290943 sequences.