Saturday, January 16, 2016

Mathematically 37

Thirty Seven


1. It is the fourth Hexagonal number, because it can be arranged in a pattern of nested hexagon.

2. It is a prime number.

3. Normal body temperature of a healthy man is 37 degree C

4. If you multiply 37 with the multiple of 3 you will get an astonishing result.
37 x 3 = 111
37 x 6 = 222
37 x 9 = 333
37 x 12 = 444 etc.

5. Take any 6 digit number in which the first three digits are consecutively increasing and last three digits are consecutively decreasing, the number will be divisible by 37.
123987 is divisible by 37

6. It is the only two digit number which, when multiplied by 2 and subtracted by 1 gives the number in reverse order.
2 x 37 – 1 = 73 is reverse of 37

7. The atomic number of Rubidium is 37

8. 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.

9. The reciprocal of 37 has three periods.
1/37 = 0.027 027 027 …
It is the only prime that has three digit periods after decimal expansion.

10. It is a centered 12- gonal number.

11. It is a maximal number of regions into which 8 lines divide a plane.

12. It can be partioned in 21687 ways.

Dr Rajesh Kumar Thakur

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