व्हाट इज द सम ऑफ 28
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- 180° is the sum of interior angles of a triangle.
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Understanding the concept :-
- The sum of the three prime factors of 28, is 2 + 2 + 7 = 11.
- The sum of the two distinct prime factors of 28, is 2 + 7 = 9.
- The sum of the divisors of 28 excluding itself, is 1+2+4+7+14 = 28.
- The sum of all divisors of 28, is 1+2+4+7+14+28 = 56.
- The number 28 has 6 divisors in total. Their sum is 56, which is twice the number 28. According to the definition of perfect numbers, a natural number n is called perfect if and only if σ(n) = 2n.
- The first perfect number is 6: σ(6) = 1+2+3+6 = 12
- The second perfect number is 28: σ(28) = 1+2+4+7+14+28 = 56
- The third perfect number is 496: σ(496) = 1+2+4+8+16+31+62+124+248+496 = 992
The fourth perfect number is 8128:
- σ(8128) = 1+2+4+8+16+32+64+127+254+508+1016+2032+4064+8128 = 16256
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