2⁵ × 3 × 5² × 11² × 199

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11^2 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 207,799,200

Proper Divisor Sum 150,009,600

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57789559 ← → #57789601

Radix Representation

Decimal	57789600
Binary	11011100011100110010100000 (26 bits)
Octal	0o334346240
Hexadecimal	0x371CCA0

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 121 132 150 160 165 176 199 200 220 240 242 264 275 300 330 352 363 398 400 440 480 484 528 550 597 600 605

Collatz Trajectory (145 steps to reach 1)

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

57,789,600 28,894,800 14,447,400 7,223,700 3,611,850 1,805,925 5,417,776 2,708,888 1,354,444 677,222 338,611 1,015,834 507,917 1,523,752 761,876 380,938 190,469 571,408 285,704 142,852 71,426 35,713 107,140 53,570 26,785 80,356 40,178 20,089 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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