2³ × 3 × 5 × 11 × 43

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 190,080

Proper Divisor Sum 133,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #56747 ← → #56767

Radix Representation

Decimal	56760
Binary	1101110110111000 (16 bits)
Octal	0o156670
Hexadecimal	0xDDB8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1,032 1,290 1,320 1,419 1,720 1,892 2,365 2,580 2,838 3,784 4,730 5,160 5,676 7,095 9,460 11,352

Collatz Trajectory (60 steps to reach 1)

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

56,760 28,380 14,190 7,095 21,286 10,643 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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