2³ × 3³ × 5 × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 64,800

Proper Divisor Sum 46,440

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #18353 ← → #18367

Radix Representation

Decimal	18360
Binary	100011110111000 (15 bits)
Octal	0o43670
Hexadecimal	0x47B8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1,020 1,080 1,224 1,530 1,836 2,040 2,295 3,060 3,672

Collatz Trajectory (61 steps to reach 1)

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

18,360 9,180 4,590 2,295 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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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