2³ × 3³ × 7 × 29

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 144,000

Proper Divisor Sum 100,152

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #43801 ← → #43853

Radix Representation

Decimal	43848
Binary	1010101101001000 (16 bits)
Octal	0o125510
Hexadecimal	0xAB48

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1,044 1,218 1,512 1,566 1,624 1,827 2,088 2,436 3,132 3,654 4,872 5,481 6,264 7,308

Collatz Trajectory (44 steps to reach 1)

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

43,848 21,924 10,962 5,481 16,444 8,222 4,111 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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 #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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