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A073353 Sum of n and its squarefree kernel. 8
2, 4, 6, 6, 10, 12, 14, 10, 12, 20, 22, 18, 26, 28, 30, 18, 34, 24, 38, 30, 42, 44, 46, 30, 30, 52, 30, 42, 58, 60, 62, 34, 66, 68, 70, 42, 74, 76, 78, 50, 82, 84, 86, 66, 60, 92, 94, 54, 56, 60, 102, 78, 106, 60, 110, 70, 114, 116, 118, 90, 122, 124, 84, 66, 130, 132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) is even; a(n)=2*n iff n is squarefree.

Least k >n such that n divides k^n - Benoit Cloitre, Oct 09 2002

a(n) = smallest integer > n such that the positive integers coprime to a(n) are also coprime to n. - Leroy Quet, Dec 24 2006

LINKS

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

FORMULA

a(n) = n + A007947(n).

PROG

(Haskell)

a073353 n = n + a007947 n  -- Reinhard Zumkeller, Jul 23 2013

(PARI) a(n)=vecsum(factor(n)[, 1])+n \\ Charles R Greathouse IV, Nov 05 2017

CROSSREFS

Cf. A007947, A005117, A066503, A064549, A003557, A073354, A078310.

Sequence in context: A053568 A037225 A060685 * A254734 A254733 A254732

Adjacent sequences:  A073350 A073351 A073352 * A073354 A073355 A073356

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 29 2002

STATUS

approved

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Last modified July 21 07:23 EDT 2019. Contains 325192 sequences. (Running on oeis4.)