3³ × 5 × 7 × 11 × 13 × 59

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11 × 13 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 19,353,600

Proper Divisor Sum 11,380,635

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7972963 ← → #7972967

Radix Representation

Decimal	7972965
Binary	11110011010100001100101 (23 bits)
Octal	0o36324145
Hexadecimal	0x79A865

Divisor Catalog (60 of 128)

1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 59 63 65 77 91 99 105 117 135 143 165 177 189 195 231 273 295 297 315 351 385 413 429 455 495 531 585 649 693 715 767 819 885 945 1,001 1,155 1,239 1,287 1,365 1,485 1,593 1,755 1,947 2,065 2,079

Collatz Trajectory (292 steps to reach 1)

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

7,972,965 23,918,896 11,959,448 5,979,724 2,989,862 1,494,931 4,484,794 2,242,397 6,727,192 3,363,596 1,681,798 840,899 2,522,698 1,261,349 3,784,048 1,892,024 946,012 473,006 236,503 709,510 354,755 1,064,266 532,133 1,596,400 798,200 399,100 199,550 99,775 299,326 149,663 448,990 224,495 673,486 336,743 1,010,230 505,115 1,515,346 757,673 2,273,020 1,136,510 568,255 1,704,766 852,383 2,557,150 1,278,575 3,835,726 1,917,863 5,753,590 2,876,795 8,630,386 4,315,193 12,945,580 6,472,790 3,236,395 9,709,186 4,854,593 14,563,780 7,281,890 3,640,945 10,922,836

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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