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Ratio Atlas
Atlas › Integer Profiles › Node 199,200
199,200
25 × 3 × 52 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 656,208
Proper Divisor Sum 457,008
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #199193 ← → #199207

Radix Representation

Decimal 199200
Binary 110000101000100000 (18 bits)
Octal 0o605040
Hexadecimal 0x30A20

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 83 96 100 120 150 160 166 200 240 249 300 332 400 415 480 498 600 664 800 830 996 1,200 1,245 1,328 1,660 1,992 2,075 2,400 2,490 2,656 3,320 3,984 4,150 4,980 6,225 6,640 7,968 8,300

Collatz Trajectory (41 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

199,200 99,600 49,800 24,900 12,450 6,225 18,676 9,338 4,669 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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