2² × 3² × 5 × 7 × 47 × 67

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 47 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,257,152

Proper Divisor Sum 10,289,412

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3967727 ← → #3967741

Radix Representation

Decimal	3967740
Binary	1111001000101011111100 (22 bits)
Octal	0o17105374
Hexadecimal	0x3C8AFC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 67 70 84 90 94 105 126 134 140 141 180 188 201 210 235 252 268 282 315 329 335 402 420 423 469 470 564 603 630 658 670 705 804 846 938 940

Collatz Trajectory (304 steps to reach 1)

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

3,967,740 1,983,870 991,935 2,975,806 1,487,903 4,463,710 2,231,855 6,695,566 3,347,783 10,043,350 5,021,675 15,065,026 7,532,513 22,597,540 11,298,770 5,649,385 16,948,156 8,474,078 4,237,039 12,711,118 6,355,559 19,066,678 9,533,339 28,600,018 14,300,009 42,900,028 21,450,014 10,725,007 32,175,022 16,087,511 48,262,534 24,131,267 72,393,802 36,196,901 108,590,704 54,295,352 27,147,676 13,573,838 6,786,919 20,360,758 10,180,379 30,541,138 15,270,569 45,811,708 22,905,854 11,452,927 34,358,782 17,179,391 51,538,174 25,769,087 77,307,262 38,653,631 115,960,894 57,980,447 173,941,342 86,970,671 260,912,014 130,456,007 391,368,022 195,684,011

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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