2⁶ × 3² × 7 × 13

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 184,912

Proper Divisor Sum 132,496

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #52391 ← → #52433

Radix Representation

Decimal	52416
Binary	1100110011000000 (16 bits)
Octal	0o146300
Hexadecimal	0xCCC0

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 144 156 168 182 192 208 224 234 252 273 288 312 336 364 416 448 468 504 546 576 624 672 728 819 832

Collatz Trajectory (47 steps to reach 1)

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

52,416 26,208 13,104 6,552 3,276 1,638 819 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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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