2⁶ × 3² × 5² × 401

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 20,574,762

Proper Divisor Sum 14,800,362

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5774387 ← → #5774411

Radix Representation

Decimal	5774400
Binary	10110000001110001000000 (23 bits)
Octal	0o26016100
Hexadecimal	0x581C40

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 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 401 450 480 576 600 720 800 802 900 960 1,200 1,203 1,440 1,600 1,604

Collatz Trajectory (95 steps to reach 1)

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

5,774,400 2,887,200 1,443,600 721,800 360,900 180,450 90,225 270,676 135,338 67,669 203,008 101,504 50,752 25,376 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 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 4,102 2,051 6,154

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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