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A000173 Unitary-sociable numbers (smallest member of each cycle). +0
3
30, 1482, 2418, 24180, 35238, 263820, 395730, 473298, 698130, 763620, 2212026, 2233554, 172459210, 209524210, 341354790, 384121920, 525150234, 530946330, 582129630, 1799281330, 2069510520, 2514290520, 3344596854, 5251502340 (list; graph; listen)
OFFSET

1,1

COMMENT

If n=product p_i^a_i, d=product p_i^c_i is a unitary divisor of n if each c_i is 0 or a_i.

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, 3rd edition, Sect. B7

LINKS

Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 01 2006, Table of n, a(n) for n = 1..44

David Moews, Perfect, amicable and sociable numbers

J. O. M. Pedersen, Tables of Aliquot Cycles

Eric Weisstein's World of Mathematics, Sociable Numbers

CROSSREFS

Cf. A034444, A003416, A097323.

Sequence in context: A002456 A107768 A048536 this_sequence A055351 A103917 A089550

Adjacent sequences: A000170 A000171 A000172 this_sequence A000174 A000175 A000176

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 01 2006

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Last modified November 27 14:17 EST 2009. Contains 167569 sequences.


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