January 1, 2023

2023

 

2023 = 17 x 17 x 7 (A008865).

2023 is the sum of its digits times the square of the sum of the digits squared: (2 + 0 + 2 + 3 = 7)(2 x 2 + 0 x 0 + 2 x 2 + 3 X 3 = 17)(2 x 2 + 0 x 0 + 2 x 2 + 3 X 3 = 17) = 7 x 17 x 17 = 2023 (A257766).

2023 is a number that cannot be written as the sum of 3 squares.

2023 is a multiple of 7 whose sum of digits is equal to 7 (A063416).

2023 is the smallest of three consecutive numbers each divisible by a square (A070258).

2023 is the remainder when 7 to the 7th power is divided by 7! (A063709).

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