2⁴ × 3⁵ × 5² × 41

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 14,691,768

Proper Divisor Sum 10,706,568

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3985181 ← → #3985207

Radix Representation

Decimal	3985200
Binary	1111001100111100110000 (22 bits)
Octal	0o17147460
Hexadecimal	0x3CCF30

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 41 45 48 50 54 60 72 75 80 81 82 90 100 108 120 123 135 144 150 162 164 180 200 205 216 225 240 243 246 270 300 324 328 360 369 400 405 410 432 450

Collatz Trajectory (92 steps to reach 1)

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

3,985,200 1,992,600 996,300 498,150 249,075 747,226 373,613 1,120,840 560,420 280,210 140,105 420,316 210,158 105,079 315,238 157,619 472,858 236,429 709,288 354,644 177,322 88,661 265,984 132,992 66,496 33,248 16,624 8,312 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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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