How to take the sum of every values when its sum is 1000 and put in a new dataframe

Question

1. I have a Dataframe with 15992 indexes.

2. I would like to loop over the dataset and take the sum of cells that falls within 999 to 1000.

3. And if the sum falls into this range, group them accordingly.

4. Take its Range, sum, count of range, mean, max, min to a new dataframe.

I'm really new at using Pandas, I don't know if it's possible. Please kindly have a look at the images below.

Thank you

Frame Offset	FrameTime
1	13.423
2	11.764
3	12.243
5	12.508
...	...
1995	49.559
1996	58.300
1997	56.943
1998	37.577
1999	57.111

Name: FrameTime, Length: 15992, dtype: float64

Here's are the process I would like to automat;

Here's what it should look like;