λ
Ratio Atlas
7,644
22 × 3 × 72 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,344
Proper Divisor Sum 14,700
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7643 ← → #7649

Radix Representation

Decimal 7644
Binary 1110111011100 (13 bits)
Octal 0o16734
Hexadecimal 0x1DDC

Divisor Catalog (36)

Collatz Trajectory (31 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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