2 × 3³ × 5 × 7 × 47 × 131

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 47 × 131

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 36,495,360

Proper Divisor Sum 24,858,630

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #11636699 ← → #11636741

Radix Representation

Decimal	11636730
Binary	101100011000111111111010 (24 bits)
Octal	0o54307772
Hexadecimal	0xB18FFA

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 126 131 135 141 189 210 235 262 270 282 315 329 378 393 423 470 630 655 658 705 786 846 917 945 987 1,179 1,269 1,310 1,410 1,645 1,834 1,890 1,965 1,974 2,115 2,358

Collatz Trajectory (109 steps to reach 1)

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

11,636,730 5,818,365 17,455,096 8,727,548 4,363,774 2,181,887 6,545,662 3,272,831 9,818,494 4,909,247 14,727,742 7,363,871 22,091,614 11,045,807 33,137,422 16,568,711 49,706,134 24,853,067 74,559,202 37,279,601 111,838,804 55,919,402 27,959,701 83,879,104 41,939,552 20,969,776 10,484,888 5,242,444 2,621,222 1,310,611 3,931,834 1,965,917 5,897,752 2,948,876 1,474,438 737,219 2,211,658 1,105,829 3,317,488 1,658,744 829,372 414,686 207,343 622,030 311,015 933,046 466,523 1,399,570 699,785 2,099,356 1,049,678 524,839 1,574,518 787,259 2,361,778 1,180,889 3,542,668 1,771,334 885,667 2,657,002

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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