2⁵ × 3² × 5³ × 397

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^3 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 50,850,072

Proper Divisor Sum 36,558,072

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #14291939 ← → #14292001

Radix Representation

Decimal	14292000
Binary	110110100001010000100000 (24 bits)
Octal	0o66412040
Hexadecimal	0xDA1420

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 397 400 450 480 500 600 720 750 794 800 900 1,000 1,125 1,191 1,200 1,440

Collatz Trajectory (192 steps to reach 1)

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

14,292,000 7,146,000 3,573,000 1,786,500 893,250 446,625 1,339,876 669,938 334,969 1,004,908 502,454 251,227 753,682 376,841 1,130,524 565,262 282,631 847,894 423,947 1,271,842 635,921 1,907,764 953,882 476,941 1,430,824 715,412 357,706 178,853 536,560 268,280 134,140 67,070 33,535 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990 381,995 1,145,986 572,993 1,718,980 859,490 429,745 1,289,236 644,618 322,309 966,928 483,464 241,732 120,866 60,433 181,300 90,650

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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