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Ratio Atlas
Atlas › Integer Profiles › Node 802,200
802,200
23 × 3 × 52 × 7 × 191
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 7 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,856,960
Proper Divisor Sum 2,054,760
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #802189 ← → #802231

Radix Representation

Decimal 802200
Binary 11000011110110011000 (20 bits)
Octal 0o3036630
Hexadecimal 0xC3D98

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 84 100 105 120 140 150 168 175 191 200 210 280 300 350 382 420 525 573 600 700 764 840 955 1,050 1,146 1,337 1,400 1,528 1,910 2,100 2,292 2,674 2,865 3,820

Collatz Trajectory (131 steps to reach 1)

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

802,200 401,100 200,550 100,275 300,826 150,413 451,240 225,620 112,810 56,405 169,216 84,608 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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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