2³ × 3² × 7 × 17 × 37

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 17 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,067,040

Proper Divisor Sum 750,024

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #317011 ← → #317021

Radix Representation

Decimal	317016
Binary	1001101011001011000 (19 bits)
Octal	0o1153130
Hexadecimal	0x4D658

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 37 42 51 56 63 68 72 74 84 102 111 119 126 136 148 153 168 204 222 238 252 259 296 306 333 357 408 444 476 504 518 612 629 666 714 777 888 952 1,036 1,071 1,224 1,258 1,332

Collatz Trajectory (153 steps to reach 1)

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

317,016 158,508 79,254 39,627 118,882 59,441 178,324 89,162 44,581 133,744 66,872 33,436 16,718 8,359 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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