A081833 a(n) is the smallest number that can be expressed as the product of three positive integers in n distinct ways, or 0 if no such number exists.

1, 4, 8, 12, 30, 24, 64, 36, 48, 60, 0, 72, 0, 210, 0, 120, 0, 144, 216, 180, 8192, 0, 0, 240, 768, 0, 32768, 420, 0, 1536, 0, 360, 480, 0, 0, 3072, 262144, 864, 0, 900, 2310, 1296, 0, 960, 0, 840, 0, 720, 12288, 2304, 1728, 1080, 0, 0, 0, 1260, 2592, 0, 0, 4608, 16777216

Offset: 1

Author

Lekraj Beedassy, Apr 11 2003

Keywords

• nonn

Comments

Sequence corresponds to the first occurrence of n in A034836.

Examples

			a(4)=12 since we have 12 = 1*1*12 = 1*2*6 = 1*3*4 = 2*2*3, and 12 is the smallest number that written as the product of 3 positive integers in 4 ways.
		

Links

• Zhao Hui Du, Table of n, a(n) for n = 1..9841

Crossrefs

Cf. A034836.

Extensions

Edited and extended by Ray Chandler, Dec 17 2008

Definition corrected by Harvey P. Dale, Mar 30 2019