Practical Numbers
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Practical Numbers
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
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
shivang- Posts : 42
Join date : 2009-01-30
Age : 35
@shivang
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, ....
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from math world
ab koi samjhao kaise???
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???
ballu- Posts : 58
Join date : 2009-02-01
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