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)

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