2⁴ × 3 × 5 × 11 × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 267,840

Proper Divisor Sum 191,280

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #76543 ← → #76561

Radix Representation

Decimal	76560
Binary	10010101100010000 (17 bits)
Octal	0o225420
Hexadecimal	0x12B10

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1,160 1,276 1,320 1,392 1,595

Collatz Trajectory (76 steps to reach 1)

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

76,560 38,280 19,140 9,570 4,785 14,356 7,178 3,589 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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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