2 × 3 × 5⁴ × 13 × 23 × 67

Prime Factor Structure

Factorization String 2 × 3 × 5^4 × 13 × 23 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 214,131,456

Proper Divisor Sum 139,007,706

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #75123749 ← → #75123791

Radix Representation

Decimal	75123750
Binary	100011110100100110000100110 (27 bits)
Octal	0o436446046
Hexadecimal	0x47A4C26

Divisor Catalog (60 of 160)

1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 67 69 75 78 115 125 130 134 138 150 195 201 230 250 299 325 335 345 375 390 402 575 598 625 650 670 690 750 871 897 975 1,005 1,150 1,250 1,495 1,541 1,625 1,675 1,725 1,742 1,794 1,875 1,950 2,010

Collatz Trajectory (166 steps to reach 1)

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

75,123,750 37,561,875 112,685,626 56,342,813 169,028,440 84,514,220 42,257,110 21,128,555 63,385,666 31,692,833 95,078,500 47,539,250 23,769,625 71,308,876 35,654,438 17,827,219 53,481,658 26,740,829 80,222,488 40,111,244 20,055,622 10,027,811 30,083,434 15,041,717 45,125,152 22,562,576 11,281,288 5,640,644 2,820,322 1,410,161 4,230,484 2,115,242 1,057,621 3,172,864 1,586,432 793,216 396,608 198,304 99,152 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62

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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