2² × 3³ × 7 × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 31,360

Proper Divisor Sum 21,532

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9817 ← → #9829

Radix Representation

Decimal	9828
Binary	10011001100100 (14 bits)
Octal	0o23144
Hexadecimal	0x2664

Divisor Catalog (48)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1,092 1,404 1,638 2,457 3,276 4,914 9,828

Collatz Trajectory (135 steps to reach 1)

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

9,828 4,914 2,457 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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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