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A060664
Numbers k such that sigma(x) = k has exactly 8 solutions.
12
336, 432, 672, 756, 840, 1536, 1620, 1764, 1848, 2280, 2394, 2604, 2808, 3264, 4080, 4480, 4860, 5328, 6528, 6624, 7128, 8316, 8568, 8880, 10608, 11040, 11448, 12288, 12420, 12636, 13176, 13200, 13248, 13536, 13860, 14196, 14208, 14448, 14700
OFFSET
1,1
EXAMPLE
336 = sigma(132) = sigma(140) = sigma(182) = sigma(188) = sigma(195) = sigma(249) = sigma(287) = sigma(299).
MAPLE
N:= 30000: # to get terms <= N
V:= Vector(N):
for k from 1 to N-1 do
t:= numtheory:-sigma(k);
if t <= N then V[t]:= V[t]+1 fi
od:
select(t -> V[t]=8, [$1..N]); # Robert Israel, Sep 22 2019
MATHEMATICA
a = Table[ 0, {20000} ]; Do[ s = DivisorSigma[ 1, n ]; If[ s < 20001, a[ [ s ] ]++ ], {n, 1, 20000} ]; Select[ Range[ 20000 ], a[ [ # ] ] == 8 & ]
PROG
(PARI) is(k) = invsigmaNum(k) == 8 \\ Amiram Eldar, Nov 18 2024, using Max Alekseyev's invphi.gp
CROSSREFS
Cf. A000203.
Number of solutions: A007369 (0), A007370 (1), A007371 (2), A007372 (3), A060660 (4), A060661 (5), A060662 (6), A060663 (7), this sequence (8), A060665 (9), A060666 (10), A060678 (11), A060676 (12).
Sequence in context: A137522 A090487 A289220 * A261551 A247530 A064259
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Apr 18 2001
STATUS
approved