λ
Ratio Atlas
65,536
216
Deficient Even Composite Square (√ = 256)

Prime Factor Structure

Factorization String 2^16
Distinct Prime Factors 1
Square Status Yes (√65536 = 256)
Abundance Measure Deficient

Analytical Properties

Total Divisors 17
Divisor Sum (σ) 131,071
Proper Divisor Sum 65,535
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #65521 ← → #65537

Radix Representation

Decimal 65536
Binary 10000000000000000 (17 bits)
Octal 0o200000
Hexadecimal 0x10000

Divisor Catalog (17)

Collatz Trajectory (16 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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