2⁴ × 3 × 5 × 7 × 67 × 71

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 67 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 29,140,992

Proper Divisor Sum 21,149,232

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7991759 ← → #7991773

Radix Representation

Decimal	7991760
Binary	11110011111000111010000 (23 bits)
Octal	0o36370720
Hexadecimal	0x79F1D0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 71 80 84 105 112 120 134 140 142 168 201 210 213 240 268 280 284 335 336 355 402 420 426 469 497 536 560 568 670 710 804 840 852 938

Collatz Trajectory (116 steps to reach 1)

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

7,991,760 3,995,880 1,997,940 998,970 499,485 1,498,456 749,228 374,614 187,307 561,922 280,961 842,884 421,442 210,721 632,164 316,082 158,041 474,124 237,062 118,531 355,594 177,797 533,392 266,696 133,348 66,674 33,337 100,012 50,006 25,003 75,010 37,505 112,516 56,258 28,129 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696

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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