2⁵ × 7 × 251

Prime Factor Structure

Factorization String 2^5 × 7 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 127,008

Proper Divisor Sum 70,784

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #56209 ← → #56237

Radix Representation

Decimal	56224
Binary	1101101110100000 (16 bits)
Octal	0o155640
Hexadecimal	0xDBA0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 251 502 1,004 1,757 2,008 3,514 4,016 7,028 8,032 14,056 28,112 56,224

Collatz Trajectory (60 steps to reach 1)

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

56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 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 #6,573,969 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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