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A242460 Integers in the Hadron Collider: Composite integers, n, break apart into a(n)>=2 factors in order to minimize the product: (number of factors)*(max factor - min factor). In case of ties, a(n) is chosen to be as small as possible. 1
0, 0, 2, 0, 2, 0, 3, 2, 2, 0, 2, 0, 2, 2, 2, 0, 3, 0, 2, 2, 2, 0, 2, 2, 2, 3, 2, 0, 2, 0, 5, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 3, 2, 0, 3, 2, 3, 2, 2, 0, 4, 2, 2, 2, 2, 0, 3, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 3, 2, 2, 2, 0, 3, 2, 2, 0, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,3
COMMENTS
Primes and powers have a(n) = 0.
LINKS
EXAMPLE
1750 can be factored in the following ways, resulting in product expressions: (number of factors)*(max factor - min factor)
1750 = 2*5*5*5*7 => (5)*(7-2) = 25,
1750 = 35*50 => (2)*(50-35) = 30,
1750 = 5*5*7*10 => (4)*(10-5) = 20.
This last factoring gives the product 20 which is the lowest possible and therefore 1750 will split into 4 factors; so a(1750) = 4.
CROSSREFS
Sequence in context: A090290 A153585 A169611 * A144494 A136166 A259525
KEYWORD
nonn,easy
AUTHOR
Gordon Hamilton, May 15 2014
EXTENSIONS
a(33)-a(94) from Hiroaki Yamanouchi, Mar 25 2015
STATUS
approved

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Last modified March 5 06:03 EST 2024. Contains 370537 sequences. (Running on oeis4.)