Today's cast is by
@thedude, it is super informative for everyone who loves math!
2025 is an incredibly special year mathematically -
1. A Perfect Square:
2025 = 45^2.
It might be the only perfect square year you’ll witness in your lifetime! The last one was 1936 (44^2), and the next won’t come until 2116 (46^2).
2. Digits in Harmony:
2025 is also the square of the sum of its own digits!
(20 + 25)^2 = 45^2 = 2025.
3. Sum of Cubes:
2025 is the sum of the cubes of the first nine natural numbers:
1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 = 2025.
4. Decimal System Perfection:
It’s also the square of the sum of all digits in the decimal number system:
(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)^2 = 45^2 = 2025.
