2⁵ × 3³ × 5 × 11

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 181,440

Proper Divisor Sum 133,920

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #47513 ← → #47521

Radix Representation

Decimal	47520
Binary	1011100110100000 (16 bits)
Octal	0o134640
Hexadecimal	0xB9A0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 198 216 220 240 264 270 288 297 330 352 360 396 432 440

Collatz Trajectory (52 steps to reach 1)

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

47,520 23,760 11,880 5,940 2,970 1,485 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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