2⁴ × 3² × 5 × 47 × 281

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 47 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 32,730,048

Proper Divisor Sum 23,221,008

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9509039 ← → #9509077

Radix Representation

Decimal	9509040
Binary	100100010001100010110000 (24 bits)
Octal	0o44214260
Hexadecimal	0x9118B0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 281 282 360 376 423 470 562 564 705 720 752 843 846 940 1,124 1,128 1,405 1,410 1,686 1,692 1,880 2,115 2,248 2,256 2,529 2,810 2,820

Collatz Trajectory (163 steps to reach 1)

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

9,509,040 4,754,520 2,377,260 1,188,630 594,315 1,782,946 891,473 2,674,420 1,337,210 668,605 2,005,816 1,002,908 501,454 250,727 752,182 376,091 1,128,274 564,137 1,692,412 846,206 423,103 1,269,310 634,655 1,903,966 951,983 2,855,950 1,427,975 4,283,926 2,141,963 6,425,890 3,212,945 9,638,836 4,819,418 2,409,709 7,229,128 3,614,564 1,807,282 903,641 2,710,924 1,355,462 677,731 2,033,194 1,016,597 3,049,792 1,524,896 762,448 381,224 190,612 95,306 47,653 142,960 71,480 35,740 17,870 8,935 26,806 13,403 40,210 20,105 60,316

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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