λ
Ratio Atlas

684,138

2 × 3 × 72 × 13 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 1,039,542
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #684127 ← → #684157

Radix Representation

Decimal 684138
Binary 10100111000001101010 (20 bits)
Octal 0o2470152
Hexadecimal 0xA706A

Divisor Catalog (48)

Collatz Trajectory (154 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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