2³ × 3 × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 11 × 13

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 483,840

Proper Divisor Sum 363,720

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #120103 ← → #120121

Radix Representation

Decimal	120120
Binary	11101010100111000 (17 bits)
Octal	0o352470
Hexadecimal	0x1D538

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 91 104 105 110 120 130 132 140 143 154 156 165 168 182 195 210 220 231 260 264 273 280

Collatz Trajectory (105 steps to reach 1)

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

120,120 60,060 30,030 15,015 45,046 22,523 67,570 33,785 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127

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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