sequences and series - Is $sum_{i=0}^infty (i) + c = sum_{k=0}^infty (2k) + c + sum_{j=0}^infty (2j+1) + c$?

Basically, the question is, "is the sum of all positive numbers equal to the sum of all positive even numbers and odd numbers?" (which is obviously yes) but with a twist: for every number, there is a constant $c$ which is also an integer.

$$\sum_{i=0}^\infty (i) + c = \sum_{k=0}^\infty (2k) + c + \sum_{j=0}^\infty (2j+1) + c$$

It really feels like this equation is true, as there should be an equal amount of $c$'s in both sides but I am not a mathematician at all, just equipped with high school maths, I wanted a proper explanation for this from you guys! Couldn't find this question when googling, sorry in advance if there is one.

Answer

Note that the sum: $$1+2+3+…$$ diverges, so they sum to $\infty$ on both sides.