2¹¹ × 3² × 11 × 47

Prime Factor Structure

Factorization String 2^11 × 3^2 × 11 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 30,663,360

Proper Divisor Sum 21,134,016

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9529327 ← → #9529361

Radix Representation

Decimal	9529344
Binary	100100010110100000000000 (24 bits)
Octal	0o44264000
Hexadecimal	0x916800

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 64 66 72 88 94 96 99 128 132 141 144 176 188 192 198 256 264 282 288 352 376 384 396 423 512 517 528 564 576 704 752 768 792 846 1,024 1,034 1,056 1,128 1,152 1,408 1,504

Collatz Trajectory (163 steps to reach 1)

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

9,529,344 4,764,672 2,382,336 1,191,168 595,584 297,792 148,896 74,448 37,224 18,612 9,306 4,653 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47

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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