λ
Ratio Atlas
77,784
23 × 3 × 7 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 222,720
Proper Divisor Sum 144,936
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #77783 ← → #77797

Radix Representation

Decimal 77784
Binary 10010111111011000 (17 bits)
Octal 0o227730
Hexadecimal 0x12FD8

Divisor Catalog (32)

Collatz Trajectory (107 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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