How to cost effectively reach Compendium Level 1000 by recycling Immortals

In case you didn't know, Immortals can be recycled to give you two FREE levels towards your Compendium!

So only Dota can voluntarily make me do math this early in the morning. I was doing it in my head until a couple users verified it with fancy formulas and stuff.

Starting at Level 150, you get another duplicate Immortal every 10 levels, with that Level 150 giving 3 at once. So Level 150 nets you 21 Immortals to start with. Assuming you want to keep one of each (18 so 3 extra to start), you should stop at precisely Level 828. This is because every 5 of those Immortals come with yet another FREE Immortal! (5 Immortals at 2 Levels a piece = 10 levels = Another Immortal)

This does not account for the fact that you may also want to recycle the rares, so it could work out even better for you.

So we now calculate the cost of going from Level 150 to 1000. Apparently buying the Level 50 Compendium for 26.99 when you already have one gives you 65 levels **CONFIRMED**

You need to buy 678 levels worth of Points. 65 levels at $26.99 a pop comes out to $269.90 to reach 650 levels. $9.99 more for 24 levels and the last $2.50 puts you at 679 levels. *Aegis of Champions retail value at $282.38*

Please tell me I didn't screw up the math...

**Formula** if you want a different number of Immortals

1000 - (105 - x)*2 = L; where x is how many Immortals you want to keep and L is what Level you stop buying and start recycling.

(L-150)/10 + 21 gives you exactly how many Immortals you will have and remember that every 10 levels gives you 1 Immortal so you recycle even more. Won't always add up to 1000 depending on what you keep so check this to make sure if you need some extra levels.

Courtesy of /u/gollumlovescoke and /u/imrepairmanman

The other way you can do it is just eating through the Collectors Cache as well, since each set can be recycled for 2 levels as well, but unless you are dying for that Rex and don't care, or already have the rare Immortals (which you can't yet with the Treasure III anyways) it's way more costly and risky if you don't get many Level drops. Since the Cache is only 1 Level/dollar when the Compendium is nearly 2.5/dollar not even accounting for the recycles.

Actually now that I think about it you cant finish this until after we get Treasure III anyways because you'd be missing out on one every 30 levels.

**TL;DR If you want one of each Immortal, Stop at Level 828, recycle the rest**