2³ × 3² × 5 × 19 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,123,200

Proper Divisor Sum 801,720

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #321469 ← → #321509

Radix Representation

Decimal	321480
Binary	1001110011111001000 (19 bits)
Octal	0o1163710
Hexadecimal	0x4E7C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 47 57 60 72 76 90 94 95 114 120 141 152 171 180 188 190 228 235 282 285 342 360 376 380 423 456 470 564 570 684 705 760 846 855 893 940 1,128 1,140 1,368 1,410

Collatz Trajectory (70 steps to reach 1)

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

321,480 160,740 80,370 40,185 120,556 60,278 30,139 90,418 45,209 135,628 67,814 33,907 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340

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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