λ
Ratio Atlas
77,952
27 × 3 × 7 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 244,800
Proper Divisor Sum 166,848
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #77951 ← → #77969

Radix Representation

Decimal 77952
Binary 10011000010000000 (17 bits)
Octal 0o230200
Hexadecimal 0x13080

Divisor Catalog (60 of 64)

Collatz Trajectory (138 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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