Understanding Factorials and Super Factorials

The video discusses the speaker's favorite number, 288, and explores the concept of factorials, specifically super factorials. It explains the calculation and properties of super factorials, including a unique property of 288. The video also touches on notation suggestions for super factorials and promotes Brilliant.org. Finally, it mentions a recent discovery in super permutations.

What is the speaker's current favorite number?

• 720

• 288

• 360

• 120

How is a double factorial different from a regular factorial?

• It adds every other term.

• It divides every other term.

• It multiplies every other term.

• It multiplies every third term.

What is the value of 3 super factorial?

• 24

• 6

• 36

• 12

Which symbol does the speaker suggest for super factorials?

• Interabang (‽)

• Ampersand (&)

• Asterisk (*)

• Hash (#)

What is a common problem in mathematics regarding symbols?

• Too many symbols are available.

• Exhaustion of standard and Greek alphabets.

• Symbols are not defined clearly.

• Symbols are too complex.

What is the result when 4k super factorial is divided by 2k factorial?

• A cube number

• A square number

• A prime number

• A factorial number

What is the unique property of the number 288?

• It is a Fibonacci number.

• It is a prime number.

• It is a perfect square.

• It equals 4 factorial times 3 factorial times 2 factorial times 1 factorial.

Which mathematical expression also equals 288?

• 4^4 + 3^3 + 2^2 + 1^1

• 5^5 + 4^4 + 3^3 + 2^2

• 3^3 + 2^2 + 1^1

• 6^6 + 5^5 + 4^4

What is the approximate formula for n factorial?

• Square root of (2 pi*n) (n over e to the n)

• n squared times pi

• n times pi squared

• n cubed over e

What is the significance of the number 288 in the context of super factorials?

• It is a prime number.

• It is the only number with a unique factorial property.

• It is a perfect cube.

• It is the largest super factorial.