λ
Ratio Atlas

684,456

23 × 3 × 192 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 19^2 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,828,800
Proper Divisor Sum 1,144,344
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #684451 ← → #684469

Radix Representation

Decimal 684456
Binary 10100111000110101000 (20 bits)
Octal 0o2470650
Hexadecimal 0xA71A8

Divisor Catalog (48)

Collatz Trajectory (123 steps to reach 1)

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

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