λ
Integer Codex
1,089
32 × 112
Deficient Odd Composite Square (√ = 33)

Prime Factor Structure

Factorization String 3^2 × 11^2
Distinct Prime Factors 2
Square Status Yes (√1089 = 33)
Abundance Measure Deficient

Analytical Properties

Total Divisors 9
Divisor Sum (σ) 1,729
Proper Divisor Sum 640
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1087 ← → #1091

Radix Representation

Decimal 1089
Binary 10001000001 (11 bits)
Octal 0o2101
Hexadecimal 0x441

Divisor Catalog (9)

Collatz Trajectory (44 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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