2³ × 3² × 7² × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 155,610

Proper Divisor Sum 109,746

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #45863 ← → #45869

Radix Representation

Decimal	45864
Binary	1011001100101000 (16 bits)
Octal	0o131450
Hexadecimal	0xB328

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1,092 1,176 1,274 1,638 1,764 1,911 2,184

Collatz Trajectory (31 steps to reach 1)

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

45,864 22,932 11,466 5,733 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 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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