2³ × 3² × 5 × 7 × 19

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 187,200

Proper Divisor Sum 139,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #47869 ← → #47881

Radix Representation

Decimal	47880
Binary	1011101100001000 (16 bits)
Octal	0o135410
Hexadecimal	0xBB08

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 28 30 35 36 38 40 42 45 56 57 60 63 70 72 76 84 90 95 105 114 120 126 133 140 152 168 171 180 190 210 228 252 266 280 285 315 342 360 380 399 420 456

Collatz Trajectory (96 steps to reach 1)

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

47,880 23,940 11,970 5,985 17,956 8,978 4,489 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834

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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