2⁵ × 3² × 5 × 19 × 211

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 19 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 20,835,360

Proper Divisor Sum 15,062,400

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5772953 ← → #5772961

Radix Representation

Decimal	5772960
Binary	10110000001011010100000 (23 bits)
Octal	0o26013240
Hexadecimal	0x5816A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 211 228 240 285 288 304 342 360 380 422 456 480 570 608 633 684 720 760 844 855 912

Collatz Trajectory (95 steps to reach 1)

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

5,772,960 2,886,480 1,443,240 721,620 360,810 180,405 541,216 270,608 135,304 67,652 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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