λ
Modular Archive
85,512
23 × 3 × 7 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 244,800
Proper Divisor Sum 159,288
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #85487 ← → #85513

Radix Representation

Decimal 85512
Binary 10100111000001000 (17 bits)
Octal 0o247010
Hexadecimal 0x14E08

Divisor Catalog (32)

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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