Question for Maths lovers - Interesting Number Pattern ----> 15

Can you list down multiple characteristics of the number 153? (without Googling please :))

It could be sum of squares, cubes, etc, etc - Can you list down all of them?

Sum of Squares and Prime - Interesting Number Pattern ---> 14

Look at this

4 ^ 2 + 1 ^ 2 = 17 ---> Prime
9 ^ 2 + 4 ^ 2 = 97 ---> Prime
16 ^ 2 + 9 ^ 2 = 337 ---> Prime
25 ^ 2 + 16 ^ 2 = 881 ----> Prime
(The pattern breaks here) 36 ^ 2 + 25 ^ 2 = 1921 ----> Not a Prime but it is = 17 * 113 which are both primes :)

Anagram-Mania!!! Interesting Number Pattern ---> 12

One of the commonly known pattern is the following

a) 13 * 13 = 169
b) Anagram of 169 is 196 which is 14 * 14
c) 961 is also an anagram which is 31 * 31 (and 31 is anagram of 13!!!)

What makes this pattern more unique is when you add number "2" to the above pattern

1. Prefix 2 in front of 169 ---> 2169.
2. Now 2169 is = 2197 - 28. 2197 is in turn 13* 13 * 13 and 28 = 3 ^ 3 + 1 ^ 3 !!! Again you could see 31 and 13 in that combination :)
3. Anagram of 2169 is 9216 which is 96 ^ 2!
4. 9261 is also an anagram which is 21 ^ 3!!! Now jumble the numbers in 21 ^ 3 and make it 31 ^ 2 and you will get 961 with 2 moved out:)

Very tough to see such a pattern! But as always numbers continue to surprise us!

5625 - Interesting Number Pattern ---> 11

5625 - 75 * 75

Add 56 + 25 = 81 - 9 * 9

5625 is one of the few numbers which two squares has a subset - 625 and 25

Square + Cube pattern - Interesting Number Pattern ---> 10

Look at these patterns

2 ^ 3 + 1 ^ 2 = 9 = 3 ^ 2 (Now 2 + 1 = 3) - 2 and 1 are the base numbers

3 ^ 3 + 3 ^ 2 = 36 = 6 ^ 2 (Now 3 + 3 = 6) - 3 is the base number

4 ^ 3 + 6 ^ 2 = 100 = 10 ^ 2 (Now 4 + 6 = 10) - 4 and 6 are the base numbers

10 ^ 2 + 5 ^ 3 = 225 = 15 ^ 2 (Now 10 + 5 = 15) - 10 and 15 are the base numbers

Can you find more numbers of this nature?

Dedicated to Team India - Interesting Number Pattern --> 9

1983 - Difference between 83 and 19 is 64 which is a perfect square
2011 - Difference between 20 and 11 is 9 which is again a perfect square
2011 - Add the digits. It gives 4 which is a perfect square again
49 - Over in which India won the WC and also the number of runs Man of the Tournament Yuvi gave yesterday - Again a perfect square
91 - Runs scored by Dhoni which is a difference of two perfect squares 10 ^ 2 - 3 ^ 2!
277 - Winning score - Is a sum of 196 + 81 which are perfect squares in turn! (14 ^ 2 + 9 ^ 2)

All in all - A perfect ending to the WC story! Chak De India :)

Interesting Number Pattern --> 8

Check out these two

Take 13 and 11 which are prime numbers

13 X 11 = 143

Now reverse them and multiply again - 31  * 11 - 341 which is the anagram of 143!

Take 13 and 17 which are prime numbers

13 X 17 = 221 (or 0221)

Reverse them and multiply

31 X 71 = 2201 which is and anagram of 0221 :)