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28 is divided by 1,2,4,7,and 14 only .
The total of 1,+2+4+7+14 =28


my Q is find the next number having same charector

2007-09-07 04:01:20 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

If the sum of divisors of a number, excluding that number is equal to that number then that number is called Perfect Number.
6, 28,
496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
= 2^4(2^5 – 1)
Next No. 8128 = 2^6 ×(2^7-1)
33550336 = 2^12 ×(2^13-1)
Perfect number can be represented as 2^(n – 1)× (2^n – 1)

Another property of perfect number is
The sum of reciprocals of the divisors of a perfect number, including that of its own is always = 2.
e.g. for 28
1/1 + 1/2+ 1/4 +1/7 +1/14 / +1/28 = 2

Edit : divisors of 120 are 1, 2, 3, 4 , 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
Sum of 1, 2, 3, 4 , 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, is not equal to 120 so it is not a perfect number.

2007-09-07 04:29:38 · answer #1 · answered by Pranil 7 · 1 0

The definition of a Perfect Number :: If the sum of divisors of a number, excluding that number is equal to that number then that number is called Perfect Number.

Perfect number can be represented as 2^(n – 1)× (2^n – 1)
where n = no. of term

so, in this formula if u put n = 1 then u will get,
2^(1-1)*(2^1-1) which is nothing but 1. So, the first perfect no. is 1. But it doesn't satisfy its definition. So, we can neglect 1 as a perfect no. .

now, if u put n = 2 in that formula u will get the second perfect no. that is nothing but 6.
if u put n = 3 then u will get the third perfect no. i.e. 28.

So, in this way if u put the value of n sequentially then u would be able to get ur desired answer.

Here according to ur question if u put n = 4 in the equation then u will get 120 which is also a perfect no.
Because, 120 = 1 + 2 + 4 + 8 + 15 + 30 + 60

so, after 28, the next Perfect No. will be 120 [ans]

2007-09-07 16:58:59 · answer #2 · answered by sharbadeb 2 · 0 0

It is nothing but wastage of time. What will u get from it ? Ask some purposeful questions .

2007-09-07 04:10:30 · answer #3 · answered by abha 4 · 0 0

these are so called perfect numbers.
google for it. next is 496

2007-09-07 04:05:13 · answer #4 · answered by gjmb1960 7 · 0 0

such no. are perfect no. the next one is 496
try out wikipedia

2007-09-07 04:16:24 · answer #5 · answered by Parth 3 · 0 0

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