2⁵ × 3 × 7 × 13²

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 368,928

Proper Divisor Sum 255,360

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #113567 ← → #113591

Radix Representation

Decimal	113568
Binary	11011101110100000 (17 bits)
Octal	0o335640
Hexadecimal	0x1BBA0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1,014 1,092 1,183 1,248 1,352 1,456 2,028 2,184 2,366 2,704 2,912 3,549 4,056 4,368 4,732

Collatz Trajectory (61 steps to reach 1)

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

113,568 56,784 28,392 14,196 7,098 3,549 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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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