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%I #11 Jan 11 2020 21:49:25
%S 1,4,8,12,16,24,36,60,48,128,72,96,120,256,180,144,192,216,420,240,
%T 1024,384,288,360,2048,432,480,900,768,840,576,1260,864,720,8192,960,
%U 1080,1152,4620,1800,3072,1680,1728,1920,1440,32768,2304,2592,6144
%N Least value with A045782(n) factorizations.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Multiplicative_partition">Multiplicative partition</a>
%H R. E. Canfield, P. Erdős and C. Pomerance, <a href="http://math.dartmouth.edu/~carlp/PDF/paper39.pdf">On a Problem of Oppenheim concerning "Factorisatio Numerorum"</a>, J. Number Theory 17 (1983), 1-28.
%e From _Gus Wiseman_, Jan 11 2020: (Start)
%e Factorizations of n = 1, 4, 8, 12, 16, 24, 36, 60, 48:
%e {} 4 8 12 16 24 36 60 48
%e 2*2 2*4 2*6 2*8 3*8 4*9 2*30 6*8
%e 2*2*2 3*4 4*4 4*6 6*6 3*20 2*24
%e 2*2*3 2*2*4 2*12 2*18 4*15 3*16
%e 2*2*2*2 2*2*6 3*12 5*12 4*12
%e 2*3*4 2*2*9 6*10 2*3*8
%e 2*2*2*3 2*3*6 2*5*6 2*4*6
%e 3*3*4 3*4*5 3*4*4
%e 2*2*3*3 2*2*15 2*2*12
%e 2*3*10 2*2*2*6
%e 2*2*3*5 2*2*3*4
%e 2*2*2*2*3
%e (End)
%Y All terms belong to A025487.
%Y The strict version is A045780.
%Y The sorted version is A330972.
%Y Includes all highly factorable numbers A033833.
%Y The least number with exactly n factorizations is A330973(n).
%Y Factorizations are A001055 with image A045782 and complement A330976.
%Y Strict factorizations are A045778 with image A045779 and complement A330975.
%Y Cf. A070175, A318284, A325238, A330974, A330989, A330992, A330998.
%K nonn
%O 1,2
%A _David W. Wilson_
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