Important characteristics of 3
1. Three (3) is the smallest odd prime number.
2. It is the first odd prime number.
3. It is the second ODD number. A number which is written in the form of 2n + 1 is called odd number. Such numbers are not divisible by 2. e.g. 1, 3, 5, 7, 9, 11, 13, 15, 17 and 19 are the first ten odd numbers.
4. Greeks did not considered 1 as an Odd so according to them 3 is the first odd number. Pythagoreans considered 3 and other odd numbers as male and all even numbers as female.
5. According to Proclus, it is the first number which increased more by multiplication than by addition. Example:- 3 + 3 = 6 and 3 x 3 = 9
6. It is the only number that is both the first Fermat Number and first Mersenne number. Pierre de Fermat was a lawyer by profession and an amateur French mathematician. He is considered the founder of Probability theory along Pascal. He was also considered to be the co- inventor of Analytic Geometry along with Rene Descartes. He is better remembered for his Last Theorem. Mersenne Numbers are integers of the form Mn = 2n – 1. Marin Mersenne was a monk in a church in France who worked on prime numbers. Mersenne number Mn is valid for n = 2, 3, 5, 7, 13, 17, 19, 31, 67 and 257.
7.
It is the second triangular number and only prime triangular number.
It is the second triangular number and only prime triangular number.
8. It is the only prime number which is one less than the perfect square. 3 = 22 – 1.
9. The numbers of Primary colors are three. They are Red, Yellow and Blue.
10. Divisibility Rule of 3:- A number is divisible by 3 if the sum of digits can be divided by 3. Example: 345 is divisible by 3 because the sum of digits 3 + 4 + 5 = 12 is divisible by 3.
11. If the denominator of a rational number is not divisible by 3 then the repeating part of its decimal expansion is divisible by 9. 1/7 = 0.142857…
Here the denominator 7 is not divisible by 3 but the repeating decimal 142857 is divisible by 9.
12. Any number expressed on the base 3 is called Ternary number. Ternary number has three digits 0, 1 and 2.
13. Three (3) is the smallest number of side required to make a polygon. Triangle is the smallest polygon with three sides. There are 3 types of triangle – Scalene, Equilateral and Isosceles.
14. With just ruler and compass, it is impossible to trisect an angle. Trisecting an angle was one of the three famous problems of antiquity.
15. Three (3) can be partitioned in three ways.
16. A, F, H, K, N, Y, Z are all made up of three lines.
17. Three (3) is the number of spatial dimension we live in.
18. According to Pythagoras, 3 is the first male number.
19. Three dimensional figures have length, breadth and height. Example: - Cube, Cuboid, Prism, Sphere, Cylinder, Cone etc.
20. Three non- collinear points determines a plane or a circle.
21. It is the only prime number followed by a square number.
22. The solution of Ramanujan Nested radical that you see in the image is 3.
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Rajesh Kumar Thakur
rkthakur1974@gmail.com
Very nice
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