2⁴ × 3² × 5 × 11²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 321,594

Proper Divisor Sum 234,474

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #87119 ← → #87121

Radix Representation

Decimal	87120
Binary	10101010001010000 (17 bits)
Octal	0o252120
Hexadecimal	0x15450

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 121 132 144 165 176 180 198 220 240 242 264 330 360 363 396 440 484 495 528 605 660 720 726 792 880 968

Collatz Trajectory (58 steps to reach 1)

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

87,120 43,560 21,780 10,890 5,445 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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