2 × 3⁵ × 5³ × 13

Prime Factor Structure

Factorization String 2 × 3^5 × 5^3 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,384,928

Proper Divisor Sum 1,595,178

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #789749 ← → #789793

Radix Representation

Decimal	789750
Binary	11000000110011110110 (20 bits)
Octal	0o3006366
Hexadecimal	0xC0CF6

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 125 130 135 150 162 195 225 234 243 250 270 325 351 375 390 405 450 486 585 650 675 702 750 810 975 1,053 1,125 1,170 1,215 1,350 1,625 1,755 1,950 2,025 2,106 2,250

Collatz Trajectory (162 steps to reach 1)

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

789,750 394,875 1,184,626 592,313 1,776,940 888,470 444,235 1,332,706 666,353 1,999,060 999,530 499,765 1,499,296 749,648 374,824 187,412 93,706 46,853 140,560 70,280 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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