λ
Ratio Atlas
7,830
2 × 33 × 5 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,600
Proper Divisor Sum 13,770
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7829 ← → #7841

Radix Representation

Decimal 7830
Binary 1111010010110 (13 bits)
Octal 0o17226
Hexadecimal 0x1E96

Divisor Catalog (32)

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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