2² × 3 × 7 × 11 × 19

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 53,760

Proper Divisor Sum 36,204

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #17551 ← → #17569

Radix Representation

Decimal	17556
Binary	100010010010100 (15 bits)
Octal	0o42224
Hexadecimal	0x4494

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1,254 1,463 1,596 2,508 2,926 4,389 5,852 8,778 17,556

Collatz Trajectory (141 steps to reach 1)

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

17,556 8,778 4,389 13,168 6,584 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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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