Here’s a countdown you can use to ring in the New Year:

2019 is the sum of consecutive numbers three different ways:

1009 + 1010 = 2019

672 + 673 + 674 = 2019

334 + 335 + 336 + 337 + 338 + 339 = 2019

There is one way that 2019 is the sum of consecutive odd numbers:

671 + 673 + 675 = 2019

2019 is the difference of two squares two different ways:

338² – 335² = 2019

1010² – 1009² = 2019

2019 is the sum of three squares nine different ways:

43² + 13² + 1² = 2019

43² + 11² + 7² = 2019

41² + 17² + 7² = 2019

41² + **13**² + **13**² = 2019

37² + 25² + 5² = 2019

37² + 23² + 11² = 2019

37² + 19² + 17² = 2019

35² + 25² + 13² = 2019

31² + **23**² + **23**² = 2019

2019 is the hypotenuse of a Pythagorean triple:

1155-1656-2019 so 1155² + 1656² = 2019²

2¹⁰ + 2⁹ + 2⁸ + 2⁷ + 2⁶ + 2⁵ + 2¹ + 2⁰ = 2019

2019 is a palindrome in a couple of bases:

It’s 5B5 in BASE 19 (B is 11 base 10) because 5(19²) + 11(19) + 5(1) = 2019,

and 3C3 in BASE 24 (C is 12 base 10) because 3(24²) + 12(24) + 3(1) = 2019

Every year has factors that often catch people by surprise. Today I would like to give you my predictions for the factors of 2019:

2019 will have four positive factors: 1, 3, 673, and 2019

However, 2019 will also have four negative factors: -1, -3, -673, and -2019

Which factors, positive or negative, will be your focus in the coming year?

Finally, I’ll share some mathematics-related 2019 and New Year tweets that I’ve seen on twitter. Some of these tweets have links that contain even more facts about the number 2019.

That tweet inspired me to make my own 3 × 3 Magic Square where every number is different but every row, column and diagonal totals the same number:

But because 2019 is divisible by 3, it can also be a magic sum of 3 × 3 magic square:

5

5

And finally, here is my contribution to 2019 twitter: