λ
Ratio Atlas

728,628

22 × 3 × 60719
Abundant Even Composite

728,628 factors as 2^2 × 3 × 60719. Its 12 positive divisors give a proper-divisor sum of 971,532, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 60719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,700,160
Proper Divisor Sum 971,532
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #728627 ← → #728639

Radix Representation

Decimal 728628
Binary 10110001111000110100 (20 bits)
Octal 0o2617064
Hexadecimal 0xB1E34

Divisor Catalog (12)

Collatz Trajectory (74 steps to reach 1)

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

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