Sure. So try this exercise. How many troops did McClellan need to win the campaign?
Surely this question doesn't actually need the later caveat you added to make it a complete question by itself.
Roughly speaking, of course, we know roughly what scale of reinforcements McClellan was asking for in May and June - it was 1st Corps. We know the scale of reinforcements he was asking for in late July - it was 9th Corps, plus any extra troops available if possible.
In both cases, this roughly corresponds to between 140,000 and 150,000 Union PFD passing through his army, which is on par with the strength the army was intended to have from the start when the Peninsular plan was first adopted (1st-4th corps inclusive as they were then, plus army-level troops).
In the Seven Days campaign as actually thought, the amount of reinforcements added before the start to the Union to make it a victory is not actually very large. It's enough troops to cover the approach over Tolopatamoy Creek, which Jackson crossed to unzip the Union position; without troops covering Tolopatamoy creek then the Seven Days means McClellan is forced further from Richmond, and with his existing strength McClellan could not cover Tolopatamoy creek without removing his assault concentration (that is, the amount of men south of the Chickahominy he was using to make progress against the Confederate defences).
In the Harrisons Landing period, McClellan was actually willing to advance without any reinforcements at all once he was told (for the first time) that he had all the troops he was going to get. This of course resulted in him advancing against an enemy which - once they called in Jackson's force to the north - would
actually outnumber him, as Lee had outnumbered him in the Seven Days and had since got about 26 regiments as reinforcement while McClellan had got nine. But McClellan was willing to advance, and I conjecture that this is because Pope and Burnside were expected to exert enough pressure from the north that the chance of facing the whole force was unlikely.
So the amount of men that it would
actually take McClellan to be successful in the Peninsular campaign, given the actual events of the Seven Days, is about what he was asking for and about the amount of strength that he was supposed to take in the first place (before Lincoln's modifications to what he could take, for various reasons).
The idea that we should calculate how many men McClellan would need, assuming that we take the highest of McClellan's strength estimates as read, is... an interesting one. But let's give it a go.
So the historical Seven Days in term of total regiments was
Confederate 215
Union 175
The addition of 1st Corps (two divisions thereof, roughly) would result in a situation where McClellan could successfully defend his northern flank while pushing closer to Richmond, as Lee's move to unzip the flank would not have worked. That means it becomes
Confederate 215
Union 200 (at 12.5 regiments per division average).
McClellan's
estimate, at the highest, was generated from Confederate regiment count. That was a total of 252 at Richmond (an overcount of 36) at 700 AP per regiment, plus 20,000 men with Beauregard (basically another 28). So let's call it 280 regiments.
At a roughly 1:1 increase-for-increase basis, this would suggest that McClellan would need an extra 55 regiments over the "victory in the Seven Days" scenario. Burnside's 9th Corps is about 20 of these, so another 35 regiments need to be found from somewhere.
As of June 26, the actual strength of 1st Corps (the Dept. of the Rappahannock) in regiments is
King 12.3 plus cav
Ord 12.4 plus cav
Shields 16.5 plus cav
Doubleday and Geary 4
Total is about 45, so 20 over the amount accounted for above.
That leaves 15 regiments to obtain. At this point the force defending Washington is what would become 1st and 2nd Corps Army of Virginia, plus the defences of Washington as they were at the end of June.
That one last division is the problem... but then again, the 1:1 increase-for-increase is not necessarily correct. McClellan's defensive forces are dug in and can exploit the advantage of the defensive, while offensively what he needs is basically troops that can sustain attrition (as he's attacking into enemy defences which are deranged by heavy artillery fire).
Since we've already found enough regiments to reinforce McClellan to 240 regiments, which is several dozen over the amount that he asked for both at the end of July and during May and June (and which, I will note, is 56 over the amount that he actually had by the end of the campaign), I think this can best be ascribed as achievable.
Now, on the flip-side, how realistic exactly is it that McClellan might fight an enemy of a strength commensurate with his estimate?
Well, the 280 isn't really possible in reality - but the 252 isn't all that far off. By the end of July there were 243 regiments either at Richmond or in Jackson's force.
I've been sticking to regiments here because McClellan's estimates are derived from enemy regiment count, and because they're quantized. Sending 10,000 reinforcements could mean a lot of things, from 17 regiments (10,000 PFD at 600 per regiment) to 10 (notional 1-regiment-is-1,000-men, as Hunter attempted when asked for 10,000 men).
Bottom line is - McClellan was willing to attack Richmond through regular approaches on day one of the Seven Days, when his estimate was that the enemy in Richmond was stronger than his own force (he put them at 150,000 AP to his own 122,000, or possibly 170,000 if Beauregard was there).
He was also willing to advance on Richmond in late July/early August. That's a thing that happened.
The willingness of McClellan to attack an enemy he
estimated as stronger is not in question.
So the amount that is necessary to
actually win the campaign in the Seven Days is not the amount required to give McClellan more men than his estimate of the Confederates. It's not even the amount required to give him parity with his estimate of the Confederates. It's the amount required to give him the strength he needs to cover Tolopatamoy Creek without giving up his assault concentration or his coverage of Mechanicsville, and then enough to sustain his assault concentration.
That is achievable - and it's not far off what he was asking for in June. It's not far off what he was asking for, under different circumstances, in late July and August.
To whatever extent McClellan estimated the enemy as numerically stronger, given his actual actions it appears to have been roughly compensated for by his belief that he could successfully fight an enemy who had those greater numbers.