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Practical Numbers

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Practical Numbers Empty Practical Numbers

Post  shivang Thu Feb 05, 2009 6:51 pm

Write a code to find all the Practical Numbers in a given range...

Practical NUmbers: consider number 12
its divisors are: 1,2,3,4,6
from these divisors we can make all the numbers less than 12 ie from 1 to 11...eg 1=1, 2=2, 3=3, 4=2+2, 5=2+3,6=6, 7=6+1, 8=6+2, 9=6+3, 10=6+3+1, 11=6+3+2

so 12 is a practical number
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Post  Admin Fri Feb 06, 2009 1:22 am

what i observed.

practical number is always even.
2^n is always practical number

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Post  shivang Fri Feb 06, 2009 1:53 am

ya 2^n is always a practical number...
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Post  ballu Sat Feb 07, 2009 2:20 am

abe shivang ye foto mere room ki hai hahahah
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Post  ballu Sat Feb 07, 2009 2:32 am

A number n is practical if for all k<=n, k is the sum of distinct proper divisors of n. Defined in 1948 by A. K. Srinivasen. All even perfect numbers are practical. The number
m=2^(n-1)(2^n-1)

is practical for all n=2, 3, .... The first few practical numbers are 1, 2, 4, 6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 48, 54, 56, ... (Sloane's A005153). G. Melfi has computed twins, triplets, and 5-tuples of practical numbers. The first few 5-tuples are 12, 18, 30, 198, 306, 462, 1482, 2550, 4422, ....
////
from math world
ab koi samjhao kaise???
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