2³ × 3³ × 7² × 11 × 41

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 17,236,800

Proper Divisor Sum 12,463,416

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4773383 ← → #4773403

Radix Representation

Decimal	4773384
Binary	10010001101011000001000 (23 bits)
Octal	0o22153010
Hexadecimal	0x48D608

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 41 42 44 49 54 56 63 66 72 77 82 84 88 98 99 108 123 126 132 147 154 164 168 189 196 198 216 231 246 252 264 287 294 297 308 328 369 378 392 396 441

Collatz Trajectory (193 steps to reach 1)

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

4,773,384 2,386,692 1,193,346 596,673 1,790,020 895,010 447,505 1,342,516 671,258 335,629 1,006,888 503,444 251,722 125,861 377,584 188,792 94,396 47,198 23,599 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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