2³ × 5² × 7 × 13 × 47

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,499,840

Proper Divisor Sum 1,644,440

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #855397 ← → #855401

Radix Representation

Decimal	855400
Binary	11010000110101101000 (20 bits)
Octal	0o3206550
Hexadecimal	0xD0D68

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 47 50 52 56 65 70 91 94 100 104 130 140 175 182 188 200 235 260 280 325 329 350 364 376 455 470 520 611 650 658 700 728 910 940 1,175 1,222 1,300 1,316 1,400 1,645 1,820 1,880 2,275 2,350 2,444

Collatz Trajectory (82 steps to reach 1)

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

855,400 427,700 213,850 106,925 320,776 160,388 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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