Wednesday 25 March 2020

Blog #113: 333031 and what we can learn from this number

I have written a blog earlier about one of my favourite number 333031 (1729 and 2520 being the other two) and given the current lockdown phase, felt that it is apt that I write a fresh ablog around this which generates lot of positive energy for me and many of my friends.

For those of you who are still wondering why this number is special for me - This is the Zip Code of BITS, Pilani (Rajasthan) which is my Alma-Mater and the town which helped shape up my career

1. For starters 333031 is a Prime number - Another "Prime" reason for choosing this!

2. Sum of all digits of 333031 is 13 which is prime again!

3. Let's see how the "couplets" of this number can be further expressed as a combination of the numbers 1,2,5 - 33 is 2 ^ 5 + 1 ^ 1, 30 is 5 ^ 2 + 5 ^ 1, 31 is 2 ^ 5 - 1 ^ 1

4. Now stepping up gears - 130333, which is 333031 written backwards, is a product of 3 prime numbers - 7, 43, 433. Nothing very special about it till we check out this pattern
- 7 x 43 = 301 and 433 - 10 ^ 2= 333. 333 and anagram of 301 combine together to form the original number 333031!

5. Going back to #4... Look at the factors 7, 43 and 433

a) Prefix 3 to 43 and you get 343 which is a multiple of 7! (7 ^ 3)
b) Suffix 3 to 43 and you get 433 which is a prime!
c) Prefix 3 to 433 and you get 3433 which is a prime!
d) Suffix 3 to 433 and you get 4333 which is a multiple of 7!

So the end result is either prime or multiple of 7

6. Going back to 333031 - 3031 is a subset of this number which is again 433 x 7 - Voila! (These two numbers are a subset of the factors of 130333 in #2)

7. Take a look at the sequence

a) 333031 is a prime
b) 33331 is a prime (without the zero)
c) 3331 is a prime
d) 331 is a prime
e) 31 is a prime!

333031 in unique in many ways and showcases some unique lessons on teamwork  -

a) Versatility

b) Exhibits consistent behaviour in smaller chunks or groups (analogous to smaller scrum teams delivering the required outcome)

c) Each digit on its own and/or when combined together contributes to something unique for the entire ecosystem (similar to how each individual make up a great team),

d) When faced with an adverse situation (Read - reversing the number or breaking down the digits or removing one digit at a time), it still retains its core characteristics (Similar to a project going through a crisis where the team need to scale up or work with distributed teams like we are all doing now and still deliver as per target without losing the core theme)

Saturday 7 March 2020

Blog Post #112: Women's Day 2020 and Investing with long term goals in mind

Investing on financials or gaining more awareness & knowledge through specialization in specific subject, requires patience, commitment and it is an ongoing process. Investing on a continuous basis keeping the long term in mind is always important and this small post is a dedication on Women's day where we could start small like a 20-20 match during the Year 2020 and invest on an ongoing basis to reap the benefits in the long term.

Explained briefly through numbers on how multiplier, compounding effect works in simple terms - The illustrative examples are taken to show the unique number patterns that emerge as we look long term:)

In summary, the examples would show that Addition is like a SIP (Systematic Investment Plan), Multiplication is more like Compounding and Growth while Factorization is equivalent of Diversification

a) 2020 - Start small like a T20 match but don't lose focus on the long term goals of mastering a 5 day Test or Championship!

b) 2020 itself is a result of two perfect squares - 1764 (42 ^ 42) and 256 (16 ^ 16). Power of addition and multiplication

c) Now add 5 to 2020 (Equivalent of planning for the near term) - Resultant is 2025. 2025 is a perfect square (45*45) - Think of it as a multiplier effect in the medium term

d) Think longer and add 500 instead of 5 (100x) to 2020 - Resulting number is 2520 which is one of the unique numbers in Mathematics world. 2520 is the lowest four digit number which has factors from 1 to 10! Power of factorization and compounding in the long run explained. When you are chasing a long term vision, make it unique like 2520!

e) If you closely look at the above pattern 2520 is an anagram of 2025 which was the medium term outcome that we started with!

Happy Women's Day everyone!