2² × 3² × 7 × 11 × 13 × 23

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 13 × 23

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,935,296

Proper Divisor Sum 2,106,468

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #828823 ← → #828829

Radix Representation

Decimal	828828
Binary	11001010010110011100 (20 bits)
Octal	0o3122634
Hexadecimal	0xCA59C

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 23 26 28 33 36 39 42 44 46 52 63 66 69 77 78 84 91 92 99 117 126 132 138 143 154 156 161 182 198 207 231 234 252 253 273 276 286 299 308 322 364 396 414 429 462 468

Collatz Trajectory (281 steps to reach 1)

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

828,828 414,414 207,207 621,622 310,811 932,434 466,217 1,398,652 699,326 349,663 1,048,990 524,495 1,573,486 786,743 2,360,230 1,180,115 3,540,346 1,770,173 5,310,520 2,655,260 1,327,630 663,815 1,991,446 995,723 2,987,170 1,493,585 4,480,756 2,240,378 1,120,189 3,360,568 1,680,284 840,142 420,071 1,260,214 630,107 1,890,322 945,161 2,835,484 1,417,742 708,871 2,126,614 1,063,307 3,189,922 1,594,961 4,784,884 2,392,442 1,196,221 3,588,664 1,794,332 897,166 448,583 1,345,750 672,875 2,018,626 1,009,313 3,027,940 1,513,970 756,985 2,270,956 1,135,478

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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