λ
Ratio Atlas
13,689
34 × 132
Deficient Odd Composite Square (√ = 117)

Prime Factor Structure

Factorization String 3^4 × 13^2
Distinct Prime Factors 2
Square Status Yes (√13689 = 117)
Abundance Measure Deficient

Analytical Properties

Total Divisors 15
Divisor Sum (σ) 22,143
Proper Divisor Sum 8,454
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13687 ← → #13691

Radix Representation

Decimal 13689
Binary 11010101111001 (14 bits)
Octal 0o32571
Hexadecimal 0x3579

Divisor Catalog (15)

Collatz Trajectory (151 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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