Palindromic Numbers and Properties

The video explores the concept of symmetry and palindromes in language and numbers. It discusses palindromic words, sentences, and numbers, including their properties and patterns. The video also covers palindromic powers, base systems, and the uniqueness of palindromic primes. Additionally, it introduces the reverse and add game, highlighting its mathematical intrigue.

What is a common feature found in nature, music, and architecture?

• Randomness

• Complexity

• Symmetry

• Asymmetry

Which of the following is a palindromic word?

• Bid

• Bib

• Dib

• Bad

What is a palindromic number?

• A number that is divisible by 2

• A number that reads the same forward and backward symbolically

• A number that reads the same forward and backward visually

• A number that is a perfect square

Which of the following is true about palindromic square numbers?

• They are always prime

• They can be formed by squaring both palindromic and non-palindromic numbers

• They can only be formed by squaring palindromic numbers

• They are finite in number

What is a strictly non-palindromic number?

• A number that is always even

• A number that is always prime

• A number that is not palindromic in any base between two and two less than itself

• A number that is palindromic in all bases

Which palindromic prime has an even number of digits?

• 11

• 101

• 121

• 131

What is the reverse and add game?

• A game where you divide a number's digits

• A game where you multiply a number's digits

• A game where you reverse a number's digits and add them until a palindrome is reached

• A game where you reverse a number's digits and subtract them