Happy New Year

We had a wonderful first day of the year. Cold with -20° at night, -12° at lunch time but sunny and still mostly „white“. I brought P. to Celerina mid morning from where she walked back home while I went to the Ovaverva to do my water exercises. Afternoon „dog training“ at Lagalb … the first in 2025.

I found a few posts on other social media channels related to 2025 for the ones who love playing numbers.

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The prime number decomposition of 2025 is super-cool: the first 5 numbers (2,3,4,5, and 1 is always an invisible factor) co-operate in an elegant fashion. I think it's going to be a good year!

2025 = (20+25)*(20+25) = the square of the sum of the numbers from 1 to 9 (1+2+3+…9)^2 = sum of the cubes from
1 to 9 (1^3 + 2^3 + 3^3 +… +9^3). Also, if, next to each other, you write the number 1 once, the number 2 twice, the number 3 thrice… the number 45 forty-five times… like this.. 122333444455555…454545, the total number of digits in that number is 2025, which is the perfect square of 45 (as per the above).

Year 2025 is a mathematical wonder:

1) 2025, itself is a square,

i.e. 45 x 45 = 2025

2) Infact, 2025 is a Kaprekar number,

i.e. 2025 = (20+25)² = 45²

3) It's a product of two squares,

i.e. 9² x 5² = 2025

4) It is the sum of 3-squares,

i.e. 40²+ 20²+5²= 2025

5) It's the sum of cubes, of all the single digits, from 1 to 9,

i.e.1³+2³+3³+4³+5³+
6³+7³+8³+9³= 2025

6) Also,

2025 = (1+2+3+...+9)²