λ
Ratio Atlas
49,728
26 × 3 × 7 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 154,432
Proper Divisor Sum 104,704
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #49727 ← → #49739

Radix Representation

Decimal 49728
Binary 1100001001000000 (16 bits)
Octal 0o141100
Hexadecimal 0xC240

Divisor Catalog (56)

Collatz Trajectory (39 steps to reach 1)

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

Active Feeder Network

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

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