2² × 3⁴ × 5 × 59 × 103

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 59 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 31,711,680

Proper Divisor Sum 21,866,940

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9844739 ← → #9844741

Radix Representation

Decimal	9844740
Binary	100101100011100000000100 (24 bits)
Octal	0o45434004
Hexadecimal	0x963804

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 103 108 118 135 162 177 180 206 236 270 295 309 324 354 405 412 515 531 540 590 618 708 810 885 927 1,030 1,062 1,180 1,236 1,545 1,593 1,620 1,770 1,854 2,060 2,124 2,655 2,781 3,090

Collatz Trajectory (238 steps to reach 1)

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

9,844,740 4,922,370 2,461,185 7,383,556 3,691,778 1,845,889 5,537,668 2,768,834 1,384,417 4,153,252 2,076,626 1,038,313 3,114,940 1,557,470 778,735 2,336,206 1,168,103 3,504,310 1,752,155 5,256,466 2,628,233 7,884,700 3,942,350 1,971,175 5,913,526 2,956,763 8,870,290 4,435,145 13,305,436 6,652,718 3,326,359 9,979,078 4,989,539 14,968,618 7,484,309 22,452,928 11,226,464 5,613,232 2,806,616 1,403,308 701,654 350,827 1,052,482 526,241 1,578,724 789,362 394,681 1,184,044 592,022 296,011 888,034 444,017 1,332,052 666,026 333,013 999,040 499,520 249,760 124,880 62,440

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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