2⁶ × 3 × 5² × 7²

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 897,636

Proper Divisor Sum 662,436

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #235199 ← → #235211

Radix Representation

Decimal	235200
Binary	111001011011000000 (18 bits)
Octal	0o713300
Hexadecimal	0x396C0

Divisor Catalog (60 of 126)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 350 392 400

Collatz Trajectory (106 steps to reach 1)

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

235,200 117,600 58,800 29,400 14,700 7,350 3,675 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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