2³ × 3² × 5 × 37

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 44,460

Proper Divisor Sum 31,140

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #13313 ← → #13327

Radix Representation

Decimal	13320
Binary	11010000001000 (14 bits)
Octal	0o32010
Hexadecimal	0x3408

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1,110 1,332 1,480 1,665 2,220 2,664 3,330 4,440 6,660 13,320

Collatz Trajectory (182 steps to reach 1)

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

13,320 6,660 3,330 1,665 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296

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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