2³ × 5² × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 624,960

Proper Divisor Sum 424,760

Digit Sum / Digital Root 4 (Root: 4)

Adjacent Primes #200191 ← → #200201

Radix Representation

Decimal	200200
Binary	110000111000001000 (18 bits)
Octal	0o607010
Hexadecimal	0x30E08

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 35 40 44 50 52 55 56 65 70 77 88 91 100 104 110 130 140 143 154 175 182 200 220 260 275 280 286 308 325 350 364 385 440 455 520 550 572 616 650 700 715 728 770 910 1,001

Collatz Trajectory (90 steps to reach 1)

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

200,200 100,100 50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271

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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