λ
Ratio Atlas
48,400
24 × 52 × 112
Abundant Even Composite Square (√ = 220)

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11^2
Distinct Prime Factors 3
Square Status Yes (√48400 = 220)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 127,813
Proper Divisor Sum 79,413
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #48397 ← → #48407

Radix Representation

Decimal 48400
Binary 1011110100010000 (16 bits)
Octal 0o136420
Hexadecimal 0xBD10

Divisor Catalog (45)

Collatz Trajectory (70 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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