2⁸ × 3 × 73

Prime Factor Structure

Factorization String 2^8 × 3 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 151,256

Proper Divisor Sum 95,192

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #56053 ← → #56081

Radix Representation

Decimal	56064
Binary	1101101100000000 (16 bits)
Octal	0o155400
Hexadecimal	0xDB00

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1,168 1,752 2,336 3,504 4,672 7,008 9,344 14,016 18,688 28,032 56,064

Collatz Trajectory (60 steps to reach 1)

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

56,064 28,032 14,016 7,008 3,504 1,752 876 438 219 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 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

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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