2³ × 3² × 5 × 11 × 17

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 252,720

Proper Divisor Sum 185,400

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #67307 ← → #67339

Radix Representation

Decimal	67320
Binary	10000011011111000 (17 bits)
Octal	0o203370
Hexadecimal	0x106F8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 30 33 34 36 40 44 45 51 55 60 66 68 72 85 88 90 99 102 110 120 132 136 153 165 170 180 187 198 204 220 255 264 306 330 340 360 374 396 408 440 495 510 561

Collatz Trajectory (112 steps to reach 1)

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

67,320 33,660 16,830 8,415 25,246 12,623 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376

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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