2³ × 3² × 5 × 13 × 17

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 294,840

Proper Divisor Sum 215,280

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #79559 ← → #79561

Radix Representation

Decimal	79560
Binary	10011011011001000 (17 bits)
Octal	0o233310
Hexadecimal	0x136C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 26 30 34 36 39 40 45 51 52 60 65 68 72 78 85 90 102 104 117 120 130 136 153 156 170 180 195 204 221 234 255 260 306 312 340 360 390 408 442 468 510 520 585 612

Collatz Trajectory (76 steps to reach 1)

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

79,560 39,780 19,890 9,945 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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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