2³ × 5 × 7 × 13² × 17

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13^2 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,371,680

Proper Divisor Sum 1,567,240

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #804409 ← → #804443

Radix Representation

Decimal	804440
Binary	11000100011001011000 (20 bits)
Octal	0o3043130
Hexadecimal	0xC4658

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 169 170 182 221 238 260 280 338 340 364 442 455 476 520 595 676 680 728 845 884 910 952 1,105 1,183 1,190 1,352 1,547 1,690 1,768 1,820 2,210 2,366

Collatz Trajectory (237 steps to reach 1)

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

804,440 402,220 201,110 100,555 301,666 150,833 452,500 226,250 113,125 339,376 169,688 84,844 42,422 21,211 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969 152,908 76,454 38,227 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150 72,575 217,726 108,863 326,590 163,295 489,886 244,943 734,830 367,415 1,102,246

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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