A280583 - OEIS

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A280583

a(n) = product of divisors of the number of divisors of n.

1, 2, 2, 3, 2, 8, 2, 8, 3, 8, 2, 36, 2, 8, 8, 5, 2, 36, 2, 36, 8, 8, 2, 64, 3, 8, 8, 36, 2, 64, 2, 36, 8, 8, 8, 27, 2, 8, 8, 64, 2, 64, 2, 36, 36, 8, 2, 100, 3, 36, 8, 36, 2, 64, 8, 64, 8, 8, 2, 1728, 2, 8, 36, 7, 8, 64, 2, 36, 8, 64, 2, 1728, 2, 8, 36, 36, 8 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Antti Karttunen, Table of n, a(n) for n = 1..10000`
	FORMULA	`a(n) = A007955(A000005(n)).` `a(p) = 2 for p = primes (A000040).` `a(n) = 3 for squares of primes (A001248).`
	EXAMPLE	`For n = 6; a(n) = product of divisors (tau(6)) = 124 = 8.`
	MATHEMATICA	`Table[Times@@Divisors[DivisorSigma[0, n]], {n, 80}] (* Harvey P. Dale, Dec 04 2021 *)`
	PROG	`(MAGMA) [&*[d: d in Divisors(#[d: d in Divisors(n)])]: n in [1..100]]`
	CROSSREFS	`Cf. A000005, A000040, A001248, A007955, A010553, A062069.` `Sequence in context: A225244 A345281 A338319 * A177047 A339665 A334490` `Adjacent sequences: A280580 A280581 A280582 * A280584 A280585 A280586`
	KEYWORD	`nonn`
	AUTHOR	`Jaroslav Krizek, Jan 07 2017`
	STATUS	`approved`

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Last modified May 24 19:38 EDT 2022. Contains 354043 sequences. (Running on oeis4.)