2⁶ × 3 × 5 × 7²

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 173,736

Proper Divisor Sum 126,696

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #47017 ← → #47041

Radix Representation

Decimal	47040
Binary	1011011111000000 (16 bits)
Octal	0o133700
Hexadecimal	0xB7C0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 140 147 160 168 192 196 210 224 240 245 280 294 320 336 392 420 448 480 490 560 588 672 735 784 840

Collatz Trajectory (52 steps to reach 1)

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

47,040 23,520 11,760 5,880 2,940 1,470 735 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 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 #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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