2² × 3³ × 5 × 7 × 41 × 113

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 41 × 113

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 64,350,720

Proper Divisor Sum 46,837,980

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17512727 ← → #17512741

Radix Representation

Decimal	17512740
Binary	1000010110011100100100100 (25 bits)
Octal	0o102634444
Hexadecimal	0x10B3924

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 41 42 45 54 60 63 70 82 84 90 105 108 113 123 126 135 140 164 180 189 205 210 226 246 252 270 287 315 339 369 378 410 420 452 492 540 565 574 615 630

Collatz Trajectory (200 steps to reach 1)

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

17,512,740 8,756,370 4,378,185 13,134,556 6,567,278 3,283,639 9,850,918 4,925,459 14,776,378 7,388,189 22,164,568 11,082,284 5,541,142 2,770,571 8,311,714 4,155,857 12,467,572 6,233,786 3,116,893 9,350,680 4,675,340 2,337,670 1,168,835 3,506,506 1,753,253 5,259,760 2,629,880 1,314,940 657,470 328,735 986,206 493,103 1,479,310 739,655 2,218,966 1,109,483 3,328,450 1,664,225 4,992,676 2,496,338 1,248,169 3,744,508 1,872,254 936,127 2,808,382 1,404,191 4,212,574 2,106,287 6,318,862 3,159,431 9,478,294 4,739,147 14,217,442 7,108,721 21,326,164 10,663,082 5,331,541 15,994,624 7,997,312 3,998,656

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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