## Wizard Recommends

Last Updated: May 12, 2022

# Why 153 is the Best Number

This newsletter is a follow-up to my April 28, 2022, newsletter, two weeks ago. That newsletter examined the claim made by Sheldon on the Big Bang Theory that 73 is the best number.

There can be little legitimate debate the two best numbers are e (Euler’s number) and π. However, let’s make this more challenging and limit ourselves to integers. Under that constraint, I submit for your consideration the best number is 153. Here is why.

• 153 is a narcissistic number, meaning it equals the sum of the cubes of it’s digits: 153 = 1³ + 5³ + 3³. Only five other numbers have this property: 0, 1, 370, 371, and 407.
• 153 is a triangular number. In particular, 153 = 1+2+3+…+17
• 153 is the sum of the first five factorials: 153 = 1! + 2! + 3! + 4! + 5!.
• The following algorithm will always return the result 153:
1. Multiply any integer by 3.
2. Split that number into it’s component digits.
3. Take the sum of the cube of each digit
4. Go back to step 2.

Following that, you will eventually get to 153 and then stay there.

For example, let’s take the current year 2022. Multiply that by 3 and you get 6066. Take the sum of the cubes of each digit and you get 6³ + 0³ + 6³ + 6³ = 432.

Take the sum of cube of each digit in 432 and you get 4³ + 3³ + 2³ = 99.

Take the sum of cube of each digit in 99 and you get 9³ + 9³ = 1458.

Take the sum of cube of each digit in 1458 and you get 1³ +4³ + 5³ + 8³ = 702 (the area code for Las Vegas).

Take the sum of cube of each digit in 702 and you get 7³ + 0³ + 2³ = 351.

Take the sum of cube of each digit in 351 and you get 3³ + 5³ + 1³ = 153.