Friday, October 26, 2018

300 Mathematically

1. It is a triangular number.

2. It is the sum of first 24 numbers.
1 + 2 + 3 + ---- + 24 = 300

3. It is also the sum of two consecutive primes, called twin primes
300 = 149 + 151

4. It is the sum of 10 consecutive primes
13+ 17+ 19+ 23 + 29 + 31 + 37 + 41 + 43 + 47

5. It is a palindrome number in 3 consecutive  bases
6067 = 4548 = 3639,

6. In Roman numeral system 
300 = CCC

7. It is the product of three primes 
300 = 2^2 x 3 x 5^2

Dr Rajesh Kumar Thakur

Wednesday, September 19, 2018

263 Mathematically

                                                           263

1. 263 is a Ramanujan prime.
Ramanujan prime is a prime number that satisfies a result proven by Srinivasa Ramanujan relating to the prime-counting function.


2. 263^2=69169 is a strobogrammatic number that appears the same rotated by 180 degree.

3. 263 = 43 + 47 + 53 + 59 + 61
(Sum of 5 Prime numbers).

4.It is a happy number. Read about Happy number in the following link.


5.It is a balanced prime.
263 = 257+ 269
2


6. It is a Chen Prime.


Thanks for reading

Dr Rajesh Kumar Thakur

Sunday, September 16, 2018

Mathematically 260

                                                                  260

  1. It is a composite number.
  2. It is the product of 3 three prime numbers-2, 3 and 13                                                                             260 = 2 x 2 x 5 x 13
  3. It is the number of days in Mayan Calender
  4. It is the magic sum of a 8 by 8 magic square. 
  5. It is also the sum of Franklin magic square 
Dr. Rajesh Kumar Thakur

Source :- 
1. Wikipedia
2. Pats' Blog
3. The Power of Mathematical number

Friday, August 31, 2018

Mathematically 244



1. 244 is an anti-perfect. 
  Its proper divisors are 1, 2, 4, 61, and 122, & adding their reversal is 244.
                           1 + 2 + 4 + 16 + 221 = 244.
2. It is a palindromic in bases 3 (1000013), 11 (20211), 60 (4460), 121 (22121), 243 (11243).

3. 244 is also the sum of three cubes,
                                   244=1^3+3^3+6^3 

4. It is the sum of two nonzero fifth powers
                                  244 = 1^5 + 3^5

5. It is a Harshad number on the base 3, 9, 11 ... . Harshad number was discovered by Indian mathematician Kaprekar.

Dr Rajesh Kumar Thakur

Tuesday, August 28, 2018

Mathematically 240


240

1. It is a semiperfect number.

2. It is a highly composite number since it has 20 divisors total (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240), more than any previous number.

3. It is a refactorable number or tau number, since it has 20 divisors and 20 divides 240.

4. It is a pronic number since it is the product of 2 consecutive number
240 = 15 × 16

5. 240 can be expressed as a sum of consecutive primes in two different ways: 240 = 53 + 59 + 61 + 67
 = 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43.

6. It is the product of 6 Fibonacci number.
240= 1 × 1 × 2 × 3× 5× 8

Sunday, July 29, 2018

Number 211

Number 211

30th July in a normal year and 31st July in a leap year is the 211th day of the year
1. It is an odd number

2. It is the sum of three consecutive primes.
211 = 67 + 71 + 73

3. It is a Chen Prime. prime number p is called a Chen prime if p + 2 is either a prime or product of two primes.

Rajesh Kumar Thakur

Number 210

Number 210

1.  (21, 20, 29) and (35, 12, 37) are the two least primitive Pythagorean triangles with different hypotenuses and the same area (=210).

2. It is the product of first four prime number
                         210 = 2 x 3 x 5 x 7

3. It is the sum of 8 consecutive prime numbers.
                   13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 = 210

4. It is a triangular Number. 
                   190              210                    231

5. It is a Harshad Number. To know more about Harshad Number. Harshad number was discovered by Indian Mathematician Kapekar.

6. It is a Pronic Number. Pronic number is a number which is the product of n and n+ 1
                210 = 14 x 15


7. It is an abundant Number. Abundant number is a number whose sum of proper divisor is more than the number. 
12 is the first abundant number.
Factor of 12 are 1, 2, 3, 4 and 6
1 + 2 + 3 + 4 + 6 > 12

8. It is a composite number, even number and pentagonal number.

Dr Rajesh Kumar Thakur