2³ × 3² × 7² × 37 × 73

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 37 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 31,255,380

Proper Divisor Sum 21,726,252

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9529103 ← → #9529133

Radix Representation

Decimal	9529128
Binary	100100010110011100101000 (24 bits)
Octal	0o44263450
Hexadecimal	0x916728

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 73 74 84 98 111 126 146 147 148 168 196 219 222 252 259 292 294 296 333 392 438 441 444 504 511 518 584 588 657 666 777 876 882 888 1,022 1,036 1,176 1,314 1,332

Collatz Trajectory (331 steps to reach 1)

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

9,529,128 4,764,564 2,382,282 1,191,141 3,573,424 1,786,712 893,356 446,678 223,339 670,018 335,009 1,005,028 502,514 251,257 753,772 376,886 188,443 565,330 282,665 847,996 423,998 211,999 635,998 317,999 953,998 476,999 1,430,998 715,499 2,146,498 1,073,249 3,219,748 1,609,874 804,937 2,414,812 1,207,406 603,703 1,811,110 905,555 2,716,666 1,358,333 4,075,000 2,037,500 1,018,750 509,375 1,528,126 764,063 2,292,190 1,146,095 3,438,286 1,719,143 5,157,430 2,578,715 7,736,146 3,868,073 11,604,220 5,802,110 2,901,055 8,703,166 4,351,583 13,054,750

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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