2² × 3³ × 7 × 29

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 67,200

Proper Divisor Sum 45,276

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #21911 ← → #21929

Radix Representation

Decimal	21924
Binary	101010110100100 (15 bits)
Octal	0o52644
Hexadecimal	0x55A4

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1,044 1,218 1,566 1,827 2,436 3,132 3,654 5,481 7,308 10,962 21,924

Collatz Trajectory (43 steps to reach 1)

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

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 #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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