2³ × 3 × 5 × 11 × 37

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 164,160

Proper Divisor Sum 115,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #48823 ← → #48847

Radix Representation

Decimal	48840
Binary	1011111011001000 (16 bits)
Octal	0o137310
Hexadecimal	0xBEC8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1,110 1,221 1,320 1,480 1,628 2,035 2,220 2,442 3,256 4,070 4,440 4,884 6,105 8,140 9,768

Collatz Trajectory (114 steps to reach 1)

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

48,840 24,420 12,210 6,105 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

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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