2⁹ × 5² × 11 × 41

Prime Factor Structure

Factorization String 2^9 × 5^2 × 11 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,983,352

Proper Divisor Sum 10,210,552

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5772799 ← → #5772803

Radix Representation

Decimal	5772800
Binary	10110000001011000000000 (23 bits)
Octal	0o26013000
Hexadecimal	0x581600

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 128 160 164 176 200 205 220 256 275 320 328 352 400 410 440 451 512 550 640 656 704 800 820 880 902 1,025 1,100 1,280 1,312 1,408 1,600 1,640 1,760 1,804 2,050 2,200 2,255

Collatz Trajectory (95 steps to reach 1)

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

5,772,800 2,886,400 1,443,200 721,600 360,800 180,400 90,200 45,100 22,550 11,275 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 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 #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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