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Ratio Atlas
Atlas › Integer Profiles › Node 2,188,200
2,188,200
23 × 3 × 52 × 7 × 521
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 7 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 7,767,360
Proper Divisor Sum 5,579,160
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2188181 ← → #2188213

Radix Representation

Decimal 2188200
Binary 1000010110001110101000 (22 bits)
Octal 0o10261650
Hexadecimal 0x2163A8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 521 525 600 700 840 1,042 1,050 1,400 1,563 2,084 2,100 2,605 3,126 3,647 4,168 4,200 5,210 6,252 7,294 7,815

Collatz Trajectory (135 steps to reach 1)

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

2,188,200 1,094,100 547,050 273,525 820,576 410,288 205,144 102,572 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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