2² × 3 × 5² × 7 × 61

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 430,528

Proper Divisor Sum 302,428

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #128099 ← → #128111

Radix Representation

Decimal	128100
Binary	11111010001100100 (17 bits)
Octal	0o372144
Hexadecimal	0x1F464

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1,050 1,220 1,281 1,525 1,708 1,830 2,100 2,135 2,562 3,050 3,660 4,270 4,575 5,124 6,100

Collatz Trajectory (87 steps to reach 1)

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

128,100 64,050 32,025 96,076 48,038 24,019 72,058 36,029 108,088 54,044 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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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