Blog #133: 2021 Recap - Teamwork and Collaboration at its best

If I look back at 2021, it was filled with full of challenges as well as opportunities for many of us both on the personal and professional front. On the professional side, what stood out to me within Mr. Cooper Group was the seamless collaboration, teamwork and commitment exhibited across teams spread across multiple locations, where employees came together, partnered with each other and delivered towards a common cause. 

I constantly saw people from Technology and Business functions working on new automation initiatives and ideas as well as employees from Business enabler functions like HR, Facilities, Finance partnering with their Business teams and innovate at every possible opportunity - Extremely proud of this work culture and credit goes to each one of the Coopers and Xomies

In the mathematics world, Numbers show a striking similarity and behavior - Whether it is an odd or even or prime number or a perfect square or cube, they display amazing patterns when they combine together and create magic under different circumstances

Here are few of my favorites and this is dedicated to all my team members across India and US.

1) 17 and 29 are two prime numbers on the face of it and so unique in that aspect. 

    a) Both are odd numbers but also when you look deeper, 17 and 29 are sum of two perfect squares - 17 is 16 + 1 while 29 is 25 + 4!

   b) Now when they combine together they become more special..1729 is Ramanujan number which doesn't require any introduction!

   c) Add the individual digits 1+7+2+9 = 19. Reverse of 19 is 91 and when you multiply both we get 1729 again!

2) Next in line 16 and 81. Both are perfect squares to begin of two other perfect squares but one of them is even and other is odd. That's how unique they are to begin with

Now let's see what happens when they combine together in various forms and shape!

     a) 1681 - Yet another perfect square (41 ^ 41)

16 x 81 - 1296 which is a perfect square again but it doesn't stop there. Anagrams of 1296 are 9216 (perfect square), 2916 (perfect square again!)

     b) Now add all the digits of 16 and 81, one by one..1 + 6 + 8 + 1 = 16! One of the original number and also a perfect square

     c) Add the digits in pairs - 16 + 81 = 97 which is the largest 2 digit prime

     d) Finally 168 + 1 is 169 whose square root is 13 and if you add the square roots of 16 and 81 you get 13 again!

3) Borrowing from one of my earlier blog posts, I have randomly selected two prime numbers 29 and 59 for this exercise

     a) Next form a 4 digit number combining 29 and 59 which gives us 2959. 2959 is not a prime but again a product of two primes! - 11 and 269

     b) Let's go a step further and form a 5 digit number with 11 and 269 which gives us 11269. What's interesting is that 11269 follows the same pattern - It is not a prime but again it is a product of two primes - 59 and 191 (As a side trivia, check how 59 appears across multiple numbers here)

    c) Next in line - the 5 digit number 59191 (59 and 191 together). Voila - 59191 is also a product of two primes 11 and 5381!!

   Tempted to go one step further?

    d) 115381 - this is a product of 7 and 16483 while 16483 in turn is a product of 53 and 311

        Though in some sense the sequence is "broken" as 115381 is a product of three prime numbers instead of two but we could see how these numbers come together and deliver something unique

If we look at the above 3 examples, we notice that numbers with unique attributes and background, when combined together through various Mathematical operators, deliver something very unique. Drawing a parallel, it is up to each one of us to identify and nurture the talent in every individual within the team and enable them with all the support required to collaborate under different circumstances to deliver towards a common goal. Believe me, each of those teams would innovate as they move along and create an ecosystem which is best in class

Thanks again to all my team members, colleagues and business partners for a wonderful 2021 and look forward to 2022

#WeAreMrCooper #WeAreXome #NumbersAreFun #Teamwork #Collaboration #ThankYou

Blog #132 - Srinivasa Ramanujan Birthday special

As we take a step closer to the beginning of a New Year, here's a short blog post on the occasion of the birth anniversary of the great mathematician Srinivasa Ramanujan - The Man Who Knew Infinity

Dec 22nd 2021 marks the 134th birth anniversary of the Mathematical genius and here's a humble tribute from yours truly to undoubtedly the greatest Mathematician of the last century

Let's look at few unique number patterns

a) 1887 + 2021 is 3908 which is a sum of two perfect squares 3844 and 64

b) 1887 can be represented as 1936 - 49 (44 ^ 2 - 7 ^ 2) while 2021 can be expressed as 2025 - 4 (45 ^ 2 - 2 ^ 2). Difference of two perfect squares

c) Now for the Ramanujan number itself to do some magic - 1729

1887 - 1729 = 158

Add 2021 and 158 and we get 2179

Now check this out

2021 - 1729 = 292

Add 1887 and 292 and bingo we get 2179 again!!

And do note that 2179 is the anagram of 1729!

Ramanujan Number at its best

d) In the previous step let's do subtraction instead of addition and see what happens

2021 - 158 = 1863 which is 1729 + 134 (Ramanujan number + 134th anniversary)!

1887 - 292 = 1595 which is 1729 - 134

(Ramanujan number - 134th anniversary)!

I am sure we could find more such interesting patterns especially when it is related to the Mathematical genius

#MathematicalGenius #srinivasaramanujan #TheManWhoKnewInfinity

#BirthAnniversary #NationalMathematicsDay