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A073182 Number of divisors of n which are not greater than the cube-free kernel of n. 4
1, 2, 2, 3, 2, 4, 2, 3, 3, 4, 2, 6, 2, 4, 4, 3, 2, 6, 2, 6, 4, 4, 2, 7, 3, 4, 3, 6, 2, 8, 2, 3, 4, 4, 4, 9, 2, 4, 4, 7, 2, 8, 2, 6, 6, 4, 2, 7, 3, 6, 4, 6, 2, 6, 4, 7, 4, 4, 2, 12, 2, 4, 6, 3, 4, 8, 2, 6, 4, 8, 2, 11, 2, 4, 6, 6, 4, 8, 2, 8, 3, 4, 2, 12, 4, 4, 4, 7, 2, 12, 4, 6, 4, 4, 4, 7, 2, 6, 6, 9, 2, 8 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

a(n) >= A073184(n).

EXAMPLE

The cube-free kernel of 56=7*2^3 is 28=7*2^2 and the divisors <= 28 of 56 are {1, 2, 4, 7, 8, 14, 28}, therefore a(56)=7.

CROSSREFS

Cf. A000005, A073183, A073180.

Sequence in context: A196437 A106491 A073184 * A049599 A043261 A157986

Adjacent sequences:  A073179 A073180 A073181 * A073183 A073184 A073185

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 19 2002

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Last modified February 15 12:04 EST 2012. Contains 205782 sequences.