2⁷ × 5² × 11

Prime Factor Structure

Factorization String 2^7 × 5^2 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 94,860

Proper Divisor Sum 59,660

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #35171 ← → #35201

Radix Representation

Decimal	35200
Binary	1000100110000000 (16 bits)
Octal	0o104600
Hexadecimal	0x8980

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1,100 1,408 1,600 1,760 2,200 3,200 3,520 4,400 7,040 8,800 17,600 35,200

Collatz Trajectory (98 steps to reach 1)

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

35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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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