2³ × 3 × 7 × 11 × 41

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 241,920

Proper Divisor Sum 166,152

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #75767 ← → #75773

Radix Representation

Decimal	75768
Binary	10010011111111000 (17 bits)
Octal	0o223770
Hexadecimal	0x127F8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1,148 1,353 1,722 1,804 1,848 2,296 2,706 3,157 3,444 3,608 5,412 6,314 6,888 9,471 10,824 12,628

Collatz Trajectory (156 steps to reach 1)

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

75,768 37,884 18,942 9,471 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485

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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