2² × 3² × 5 × 7² × 19

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 622,440

Proper Divisor Sum 454,860

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #167543 ← → #167593

Radix Representation

Decimal	167580
Binary	101000111010011100 (18 bits)
Octal	0o507234
Hexadecimal	0x28E9C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 49 57 60 63 70 76 84 90 95 98 105 114 126 133 140 147 171 180 190 196 210 228 245 252 266 285 294 315 342 380 399 420 441 490 532 570 588

Collatz Trajectory (90 steps to reach 1)

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

167,580 83,790 41,895 125,686 62,843 188,530 94,265 282,796 141,398 70,699 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179

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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