λ
Ratio Atlas
7,728
24 × 3 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,808
Proper Divisor Sum 16,080
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7727 ← → #7741

Radix Representation

Decimal 7728
Binary 1111000110000 (13 bits)
Octal 0o17060
Hexadecimal 0x1E30

Divisor Catalog (40)

Collatz Trajectory (26 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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