λ
Ratio Atlas

677,928

23 × 3 × 47 × 601
Abundant Even Composite

677,928 factors as 2^3 × 3 × 47 × 601. Its 32 positive divisors give a proper-divisor sum of 1,055,832, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,733,760
Proper Divisor Sum 1,055,832
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #677927 ← → #677947

Radix Representation

Decimal 677928
Binary 10100101100000101000 (20 bits)
Octal 0o2454050
Hexadecimal 0xA5828

Divisor Catalog (32)

Collatz Trajectory (61 steps to reach 1)

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

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