2 × 3³ × 5 × 11²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 95,760

Proper Divisor Sum 63,090

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32653 ← → #32687

Radix Representation

Decimal	32670
Binary	111111110011110 (15 bits)
Octal	0o77636
Hexadecimal	0x7F9E

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1,089 1,210 1,485 1,815 2,178 2,970 3,267 3,630 5,445 6,534 10,890 16,335 32,670

Collatz Trajectory (160 steps to reach 1)

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

32,670 16,335 49,006 24,503 73,510 36,755 110,266 55,133 165,400 82,700 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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