λ
Ratio Atlas

693,516

22 × 3 × 57793
Abundant Even Composite

693,516 factors as 2^2 × 3 × 57793. Its 12 positive divisors give a proper-divisor sum of 924,716, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 57793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,618,232
Proper Divisor Sum 924,716
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #693503 ← → #693523

Radix Representation

Decimal 693516
Binary 10101001010100001100 (20 bits)
Octal 0o2512414
Hexadecimal 0xA950C

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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