2⁸ × 3² × 7²

Prime Factor Structure

Factorization String 2^8 × 3^2 × 7^2

Distinct Prime Factors 3

Square Status Yes (√112896 = 336)

Abundance Measure Abundant

Analytical Properties

Total Divisors 81

Divisor Sum (σ) 378,651

Proper Divisor Sum 265,755

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #112877 ← → #112901

Radix Representation

Decimal	112896
Binary	11011100100000000 (17 bits)
Octal	0o334400
Hexadecimal	0x1B900

Divisor Catalog (60 of 81)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 576 588 672 768 784 882 896 1,008 1,152 1,176 1,344 1,568 1,764 1,792

Collatz Trajectory (35 steps to reach 1)

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

112,896 56,448 28,224 14,112 7,056 3,528 1,764 882 441 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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