Monday, January 25, 2016

Mathematically 64

Sixty Four (64)

1. It is the smallest number with exactly 7 divisors. The divisors of 64 are 1, 2, 4, 8, 16, 32 and 64.

2. It is the second number after 1 which is a square number, a cube number or the sixth power of a number.
64 = 2^6 = 8^2 = 4^3

3. The difference of first pair of amicable number is 64. The first pair of amicable number is 220 and 284.
284 – 220 = 64

4. It is also the difference of 10th pair of amicable number. The 10th pair of amicable number is 66992 and 66928.
66992 - 66928 = 64

5. The number of codons of DNA in a human body is 64.

6. The atomic number of Gadolinium is 64.

7. There are 64 squares in a chess board.

8. It is the sum of first 8 odd numbers.
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64

9. It is a dodecagonal number.

10. It is the number of plus (+) signs needed to write the partitions of 8.

11. There are 64 hexagrams in I Ching. It is the one of the world’s oracle and most loved revered book of Chinese wisdom. This book is consulted for its advice and insight into human nature and telling the future.


12. It is the smallest number with 6 primes.
64 = 2 x 2 x 2 x 2 x 2 x 2

13. It is the sum of 4 consecutive centered hexagonal numbers.
64 = 1 + 7 + 19 + 37


DR RAJESH KUMAR THAKUR
rkthakur1974@gmail.com

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