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Search: id:A070172
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A070172 Smallest k such that sigma(k)=>n. +0
3
1, 2, 2, 3, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 20, 20, 20, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 36, 36 (list; graph; listen)
OFFSET

1,2

COMMENT

Also smallest m to partition n into distinct divisors of m; hihgly abundant numbers are record values: a(i)<A002093(n) for 1<=i<A085443(n), A002093(n)=a(A085443(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 30 2003

FORMULA

It seems that lim n -> infinity a(n)/n*ln(ln(n))=C=0, 6...

PROGRAM

(PARI) for(n=1, 150, s=1; while(sigma(s)<n, s++); print1(s, ", "))

CROSSREFS

Sequence in context: A006165 A131807 A104351 this_sequence A130128 A049980 A141525

Adjacent sequences: A070169 A070170 A070171 this_sequence A070173 A070174 A070175

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 06 2002

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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