2³ × 3² × 5 × 11 × 929

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 929

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,057,200

Proper Divisor Sum 9,378,360

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3678839 ← → #3678841

Radix Representation

Decimal	3678840
Binary	1110000010001001111000 (22 bits)
Octal	0o16021170
Hexadecimal	0x382278

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 929 990 1,320 1,858 1,980 2,787 3,716 3,960 4,645 5,574 7,432 8,361 9,290 10,219 11,148 13,935

Collatz Trajectory (84 steps to reach 1)

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

3,678,840 1,839,420 919,710 459,855 1,379,566 689,783 2,069,350 1,034,675 3,104,026 1,552,013 4,656,040 2,328,020 1,164,010 582,005 1,746,016 873,008 436,504 218,252 109,126 54,563 163,690 81,845 245,536 122,768 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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