2⁵ × 3 × 13 × 43

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 155,232

Proper Divisor Sum 101,568

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #53657 ← → #53681

Radix Representation

Decimal	53664
Binary	1101000110100000 (16 bits)
Octal	0o150640
Hexadecimal	0xD1A0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1,032 1,118 1,248 1,376 1,677 2,064 2,236 3,354 4,128 4,472 6,708 8,944 13,416 17,888 26,832 53,664

Collatz Trajectory (47 steps to reach 1)

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

53,664 26,832 13,416 6,708 3,354 1,677 5,032 2,516 1,258 629 1,888 944 472 236 118 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 #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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