The Joy of Six

A PERFECT number is any number that is the sum of it's proper divisors (all divisors excluding the number itself). Thus, six is PERFECT because it's divisors (1,2,3) add to 6. Twenty-eight is another PERFECT number: 1 + 2 + 4 + 7 + 14 = 28. But six is not only the sum of it's divisors, it is also the product of it's divisors: 1 * 2 * 3 = 6
Is 6 the most perfect number? We will begin our investigation of the amazing properties of the number 6 with the following numerological sleight of hand...
What is A Prime Number?
Now, using only the six Perfect Primes (2, 3, 5, 7, 11, 13),
the following formulas are assembled:
What is The Sum of Integers?
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