2² × 3 × 7 × 11 × 41

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 112,896

Proper Divisor Sum 75,012

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #37879 ← → #37889

Radix Representation

Decimal	37884
Binary	1001001111111100 (16 bits)
Octal	0o111774
Hexadecimal	0x93FC

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1,148 1,353 1,722 1,804 2,706 3,157 3,444 5,412 6,314 9,471 12,628 18,942 37,884

Collatz Trajectory (155 steps to reach 1)

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

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 1,456

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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