A227765 First n-fold perfect number divided by 6, or 0 if the quotient is not an integer.

0, 1, 20, 5040, 2363739840, 25724259347628441600, 23551816324573058043308233789747587210723924136427520000

Offset: 1

Author

Jonathan Sondow, Jul 29 2013

Keywords

• nonn

Comments

The first n-fold perfect numbers are A007539(n) = 1, 6, 120, 30240, 14182439040, ..., for n = 1, 2, 3, 4, 5, ...

The first n-fold perfect numbers divided by 120 is A227766.

The first n-fold perfect numbers divided by 30240 is A227767.

The first n-fold perfect numbers divided by 14182439040 is A227768.

For additional comments, references, links, and cross-refs, see A007539.

Examples

			The first 3-fold perfect number is A007539(3) = 120, so a(3) = 120/6 = 20.
		

Links

• T. D. Noe, Table of n, a(n) for n = 1..8
• E. W. Weisstein's MathWorld, Multiperfect Number
• Wikipedia, Multiply perfect number

Crossrefs

Cf. A007539, A227766, A227767, A227768, A227769.

Formula

a(n) = A007539(n)/6 if 2 <= n <= 8.