2³ × 3² × 7 × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,840

Proper Divisor Sum 15,288

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6551 ← → #6553

Radix Representation

Decimal	6552
Binary	1100110011000 (13 bits)
Octal	0o14630
Hexadecimal	0x1998

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1,092 1,638 2,184 3,276 6,552

Collatz Trajectory (44 steps to reach 1)

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

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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