I was inspired to make a 3 × 3 Magic Square where every number is different but the numbers in each row, column and diagonal added together equal the same number, 54:
I made it by taking a regular 3 × 3 Magic Square and adding 13 to each of its numbers.
What inspired me to do that? This magical tweet of a palindromic Magic Square for the Year 2019:
A Palindromic Magic Square for the Year 2019 #math https://t.co/Of7tj2e41K pic.twitter.com/TiFGuvPpxQ
— Learn Fun Facts (@edmarklaw) December 29, 2018
Yeah, I know my magic square isn’t quite as impressive. It might be more square than it is magic. It’s also less impressive than this number 2019 spelled out using fifty-one
4 × 4 Magic Squares.
@pickover @solvemymaths @matescercanas @fermatslibrary @standupmaths Happy 2019 – https://t.co/D73ve0f0j6 pic.twitter.com/hdz7sp9NAZ
— INDER J. TANEJA (@IJTANEJA) December 31, 2018
Maybe you will be more impressed by this magic square that has 2019 as its Magic Sum?
I could make that magic sum because 2019 is divisible by 3. Why is 673 in the center? Because 2019÷3 = 673.
673 × 2 = 1346. I’m sharing these magic squares in this post I’ve numbered 1346. In case you haven’t figured it out (1346÷2)×3 = 2019. Happy New Year!
Here’s more about the number 1346:
- 1346 is a composite number.
- Prime factorization: 1346 = 2 × 673
- 1346 has no exponents greater than 1 in its prime factorization, so √1346 cannot be simplified.
- The exponents in the prime factorization are 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1346 has exactly 4 factors.
- The factors of 1346 are outlined with their factor pair partners in the graphic below.
1346 is the hypotenuse of a Pythagorean triple:
770-1104-1346 which is 2 times 385-552-673