Saturday, January 16, 2016

Mathematically 36

Thirty Six (36)


1. It is a triangular number and a square number. It is better known as a square triangular number. It is the smallest number with this property.


2. The total number of sample space of throwing 2 dices is 36.

3. It is the smallest number which is the sum of pairs of distinct odd primes in four ways.
36 = 5 + 31 = 7 + 29 = 13 + 23 = 17 + 19

4. It is the 6th abundant number.

5. It can be partioned into 17977 ways.

6. It can be expressed as the sum of cubes of three consecutive numbers.
36 = 1^3 + 2^3 + 3^3

7. It is the smallest number to have 9 different factors—1, 2, 3, 4, 6, 9, 12,18 and 36.

8. 1 yard = 36 inches.

9. It is the product of squares of first three integers.
36 = 1^2 x 2^2 x 3^2

10. It is the only triangular number other than 1 whose square root is also a triangular number.

11. The interior angle of each tip of a regular pentagram is 36. A pentagram is the shape of a five pointed star drawn with 5 straight strokes.


12. It is the smallest square with the property that n/2 – 1 and n/2 + 1 are both primes.

13. The truncated cube and truncated octahedron both have 36 edges and both are the Archimedean solids.

14. It is the largest 2 digit number divisible by the product of its digits and also by their sum.
36 is divisible by 3 x 6 = 18 and 3+6 = 9

15. The sum of first 36 number is 666- a beast number
1 + 2 + 3 + ---- + 36 = 666

16. The Kiwi's seed divides the circle into 36 equal sectors. (From Pat's Blog - http://pballew.blogspot.in/)



Dr Rajesh Kumar Thakur

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