## 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).

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

6. It is a Chen Prime.

Dr Rajesh Kumar Thakur

## 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