PERFECT NUMBER

In mathematics, a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors not including the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors, or σ(n) = 2 n.
Example:
The factors of 6 are 1, 2, 3 and 6.1 + 2 + 3 = 6 = 2^ (2-1)*(2^2 – 1)
The factors of 28 are 1, 2, 4, 7, 14 and 28.1 + 2 + 4 + 7 + 14 = 28.
28 = 2^ (3-1)*(2^3 – 1)
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496.1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496.
496= 2^ (5-1)*(2^5 – 1)
The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064 and 8128. I'll let you add them up.
8128= 2^ (7-1)*(2^7 – 1)
Formula to calculate Perfect Number:
Perfect Number = 2^ (n-1) * (2^n - 1)
Where n and 2^n – 1 has to be prime numbers.
Note: It is not necessary that when n is prime 2^n – 1 is always prime.
Put n = 11, 2^11 – 1 = 2047= 23*89 .

Peeeeeeeeeeeeeeeeep IN

English, for sure, is a funny language. Here if you want to guess the word meanings your old friend ‘intuition’ might not be able to help you always. Here are few words that would highlight the funny aspect of VOCABULARY in English.

PERCHANCE has nothing to do with chance, it means perhaps.

Though PERCOLATE is to move gradually through a surface with small holes or spaces in it, PERCOLATOR simply means a pot for making coffee.

A PRODIGY is a young person who is unusually intelligent or skilful for his age, while PROTÉGÉ is a young person who is helped in his career and personal development by a more experienced person.

PROPRIETY means correct behaviour, strangely PROPRIETOR is the owner of a business, a hotel etc.
Keep watching this space to master vocabulary the fun and more interesting way