λ
Ratio Atlas

684,372

22 × 3 × 13 × 41 × 107
Abundant Even Composite

684,372 factors as 2^2 × 3 × 13 × 41 × 107. Its 48 positive divisors give a proper-divisor sum of 1,093,740, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 41 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,778,112
Proper Divisor Sum 1,093,740
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #684349 ← → #684373

Radix Representation

Decimal 684372
Binary 10100111000101010100 (20 bits)
Octal 0o2470524
Hexadecimal 0xA7154

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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