λ
Ratio Atlas
821,600
25 × 52 × 13 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 13 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 2,187,360
Proper Divisor Sum 1,365,760
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #821573 ← → #821603

Radix Representation

Decimal 821600
Binary 11001000100101100000 (20 bits)
Octal 0o3104540
Hexadecimal 0xC8960

Divisor Catalog (60 of 72)

Collatz Trajectory (69 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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