λ
Ratio Atlas
77,640
23 × 3 × 5 × 647
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 233,280
Proper Divisor Sum 155,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #77621 ← → #77641

Radix Representation

Decimal 77640
Binary 10010111101001000 (17 bits)
Octal 0o227510
Hexadecimal 0x12F48

Divisor Catalog (32)

Collatz Trajectory (182 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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