λ
Modular Archive
20,736
28 × 34
Abundant Even Composite Square (√ = 144)

Prime Factor Structure

Factorization String 2^8 × 3^4
Distinct Prime Factors 2
Square Status Yes (√20736 = 144)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 61,831
Proper Divisor Sum 41,095
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20731 ← → #20743

Radix Representation

Decimal 20736
Binary 101000100000000 (15 bits)
Octal 0o50400
Hexadecimal 0x5100

Divisor Catalog (45)

Collatz Trajectory (30 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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