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A086454 Number of divisors of prime powers: tau(p^e). 1
1, 2, 2, 3, 2, 2, 4, 3, 2, 2, 5, 2, 2, 2, 3, 4, 2, 2, 6, 2, 2, 2, 2, 3, 2, 2, 2, 7, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 9, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = A000005(A000961(n)).

LINKS

Table of n, a(n) for n=1..101.

Eric Weisstein's World of Mathematics, Prime Power.

Eric Weisstein's World of Mathematics, Divisor Function

FORMULA

a(p^e) = e+1: a(n)=A025474(n)+1.

CROSSREFS

Cf. A086455.

Sequence in context: A160651 A230296 A278317 * A069360 A175509 A213023

Adjacent sequences:  A086451 A086452 A086453 * A086455 A086456 A086457

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 20 2003

STATUS

approved

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Last modified November 22 06:15 EST 2019. Contains 329389 sequences. (Running on oeis4.)