λ
Ratio Atlas
77,280
25 × 3 × 5 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 290,304
Proper Divisor Sum 213,024
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #77279 ← → #77291

Radix Representation

Decimal 77280
Binary 10010110111100000 (17 bits)
Octal 0o226740
Hexadecimal 0x12DE0

Divisor Catalog (60 of 96)

Collatz Trajectory (125 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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