λ
Modular Archive
75,744
25 × 32 × 263
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 216,216
Proper Divisor Sum 140,472
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #75743 ← → #75767

Radix Representation

Decimal 75744
Binary 10010011111100000 (17 bits)
Octal 0o223740
Hexadecimal 0x127E0

Divisor Catalog (36)

Collatz Trajectory (94 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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