λ
Modular Archive
7,744
26 × 112
Abundant Even Composite Square (√ = 88)

Prime Factor Structure

Factorization String 2^6 × 11^2
Distinct Prime Factors 2
Square Status Yes (√7744 = 88)
Abundance Measure Abundant

Analytical Properties

Total Divisors 21
Divisor Sum (σ) 16,891
Proper Divisor Sum 9,147
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7741 ← → #7753

Radix Representation

Decimal 7744
Binary 1111001000000 (13 bits)
Octal 0o17100
Hexadecimal 0x1E40

Divisor Catalog (21)

Collatz Trajectory (101 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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