Happy New Year 2025 — the first year to be a square (whose digits sum to a square) that is equal to the sum of the first [sum of its digits] consecutive cubes and to the square of (and the product of the proper divisors of) the sum of a split of its digits. If... Continue Reading →
Here's a special countdown for 2024. Happy New Year 🎉 Math up your countdown to 2024… = 10×9×(8+7+6)+5!+4×3+2×1= 10×(9+8×7-6+5!+4!)-3×2×1= (10+9)×(8+7+6)×5+4!+3+2×1= 10×(9+8)×7+6!+5!-4-3+2−1= (10+9−8)×(7+6−5)×(4×3×2−1)= (10+(9×(8−(7−6×5))))×(4+3)+(2-1)= (10+(9+8×7)×6)×5+4×3×2×1
2023 is the only number that is equal to the sum of its digits multiplied by the square of the sum of the squares of its digits, where the sum of its digits and the sum of the squares of its digits are also its prime factors.
ekoshapu 
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