A192929 Least highly abundant number with n distinct prime factors.

1, 2, 6, 30, 210, 4620, 120120, 4084080, 116396280, 2677114440, 310545275040, 14440355289360, 1068586291412640, 114873026326858800, 9419588158802421600, 442720643463713815200, 54011918502573085454400, 8587895041909120587249600

Offset

0,2

Comments

a(n) is the least number in sequence A002093, with A001221(a(n)) = n.

References

S. S. Pillai, Highly abundant numbers, Bull. Calcutta Math. Soc., 35, (1943), 141-156.

Links

Table of n, a(n) for n=0..17.

L. Alaoglu and P. Erdős, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.

Wikipedia, Highly abundant number

Crossrefs

Cf. A001222, A002093, A225194.

Sequence in context: A185693 A093449 A083002 * A077176 A101178 A294925

Adjacent sequences: A192926 A192927 A192928 * A192930 A192931 A192932

Keyword

nonn

Author

Enrique Pérez Herrero, Jul 12 2011

Status

approved