2⁴ × 3 × 5² × 17 × 43

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 17 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 3,044,448

Proper Divisor Sum 2,167,248

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #877199 ← → #877213

Radix Representation

Decimal	877200
Binary	11010110001010010000 (20 bits)
Octal	0o3261220
Hexadecimal	0xD6290

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 43 48 50 51 60 68 75 80 85 86 100 102 120 129 136 150 170 172 200 204 215 240 255 258 272 300 340 344 400 408 425 430 510 516 600 645 680 688 731 816 850 860

Collatz Trajectory (149 steps to reach 1)

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

877,200 438,600 219,300 109,650 54,825 164,476 82,238 41,119 123,358 61,679 185,038 92,519 277,558 138,779 416,338 208,169 624,508 312,254 156,127 468,382 234,191 702,574 351,287 1,053,862 526,931 1,580,794 790,397 2,371,192 1,185,596 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048 1,500,524 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106 949,553 2,848,660 1,424,330 712,165 2,136,496 1,068,248 534,124 267,062 133,531 400,594 200,297

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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