2⁴ × 5³ × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 37,140,480

Proper Divisor Sum 24,638,480

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #12501997 ← → #12502001

Radix Representation

Decimal	12502000
Binary	101111101100001111110000 (24 bits)
Octal	0o57541760
Hexadecimal	0xBEC3F0

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 47 50 56 70 76 80 94 95 100 112 125 133 140 152 175 188 190 200 235 250 266 280 304 329 350 376 380 400 470 475 500 532 560 658 665 700 752 760 875 893 940 950 1,000 1,064

Collatz Trajectory (158 steps to reach 1)

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

12,502,000 6,251,000 3,125,500 1,562,750 781,375 2,344,126 1,172,063 3,516,190 1,758,095 5,274,286 2,637,143 7,911,430 3,955,715 11,867,146 5,933,573 17,800,720 8,900,360 4,450,180 2,225,090 1,112,545 3,337,636 1,668,818 834,409 2,503,228 1,251,614 625,807 1,877,422 938,711 2,816,134 1,408,067 4,224,202 2,112,101 6,336,304 3,168,152 1,584,076 792,038 396,019 1,188,058 594,029 1,782,088 891,044 445,522 222,761 668,284 334,142 167,071 501,214 250,607 751,822 375,911 1,127,734 563,867 1,691,602 845,801 2,537,404 1,268,702 634,351 1,903,054 951,527 2,854,582

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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