2² × 3³ × 5 × 7 × 13

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 188,160

Proper Divisor Sum 139,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #49139 ← → #49157

Radix Representation

Decimal	49140
Binary	1011111111110100 (16 bits)
Octal	0o137764
Hexadecimal	0xBFF4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 52 54 60 63 65 70 78 84 90 91 105 108 117 126 130 135 140 156 180 182 189 195 210 234 252 260 270 273 315 351 364 378 390 420 455

Collatz Trajectory (158 steps to reach 1)

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

49,140 24,570 12,285 36,856 18,428 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852 239,426 119,713 359,140 179,570 89,785 269,356 134,678 67,339

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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