2² × 3² × 7 × 13² × 19

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13^2 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,664,480

Proper Divisor Sum 1,855,308

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #809147 ← → #809173

Radix Representation

Decimal	809172
Binary	11000101100011010100 (20 bits)
Octal	0o3054324
Hexadecimal	0xC58D4

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 169 171 182 228 234 247 252 266 273 338 342 364 399 468 494 507 532 546 676 684 741 798 819 988 1,014 1,092 1,183 1,197 1,482

Collatz Trajectory (162 steps to reach 1)

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

809,172 404,586 202,293 606,880 303,440 151,720 75,860 37,930 18,965 56,896 28,448 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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