2⁵ × 5² × 7 × 17

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 281,232

Proper Divisor Sum 186,032

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #95191 ← → #95203

Radix Representation

Decimal	95200
Binary	10111001111100000 (17 bits)
Octal	0o271740
Hexadecimal	0x173E0

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1,120 1,190 1,360 1,400 1,700 1,904 2,380 2,720 2,800 2,975 3,400

Collatz Trajectory (53 steps to reach 1)

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

95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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