2⁶ × 3² × 7 × 131

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,743,456

Proper Divisor Sum 1,215,264

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #528191 ← → #528197

Radix Representation

Decimal	528192
Binary	10000000111101000000 (20 bits)
Octal	0o2007500
Hexadecimal	0x80F40

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 131 144 168 192 224 252 262 288 336 393 448 504 524 576 672 786 917 1,008 1,048 1,179 1,344 1,572 1,834 2,016 2,096 2,358 2,751 3,144 3,668 4,032 4,192 4,716 5,502

Collatz Trajectory (45 steps to reach 1)

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

528,192 264,096 132,048 66,024 33,012 16,506 8,253 24,760 12,380 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 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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