2⁷ × 3² × 5 × 83

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,670,760

Proper Divisor Sum 1,192,680

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #478069 ← → #478087

Radix Representation

Decimal	478080
Binary	1110100101110000000 (19 bits)
Octal	0o1645600
Hexadecimal	0x74B80

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 83 90 96 120 128 144 160 166 180 192 240 249 288 320 332 360 384 415 480 498 576 640 664 720 747 830 960 996 1,152 1,245 1,328 1,440 1,494 1,660 1,920

Collatz Trajectory (45 steps to reach 1)

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

478,080 239,040 119,520 59,760 29,880 14,940 7,470 3,735 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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