2⁶ × 3² × 5² × 67

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 3,480,308

Proper Divisor Sum 2,515,508

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #964793 ← → #964823

Radix Representation

Decimal	964800
Binary	11101011100011000000 (20 bits)
Octal	0o3534300
Hexadecimal	0xEB8C0

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 67 72 75 80 90 96 100 120 134 144 150 160 180 192 200 201 225 240 268 288 300 320 335 360 400 402 450 480 536 576 600 603 670 720 800

Collatz Trajectory (139 steps to reach 1)

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

964,800 482,400 241,200 120,600 60,300 30,150 15,075 45,226 22,613 67,840 33,920 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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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