λ
Modular Archive
47,712
25 × 3 × 7 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 145,152
Proper Divisor Sum 97,440
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #47711 ← → #47713

Radix Representation

Decimal 47712
Binary 1011101001100000 (16 bits)
Octal 0o135140
Hexadecimal 0xBA60

Divisor Catalog (48)

Collatz Trajectory (96 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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