λ
Ratio Atlas

516,396

22 × 3 × 23 × 1871
Abundant Even Composite

516,396 factors as 2^2 × 3 × 23 × 1871. Its 24 positive divisors give a proper-divisor sum of 741,588, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 1871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,257,984
Proper Divisor Sum 741,588
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #516391 ← → #516407

Radix Representation

Decimal 516396
Binary 1111110000100101100 (19 bits)
Octal 0o1760454
Hexadecimal 0x7E12C

Divisor Catalog (24)

Collatz Trajectory (76 steps to reach 1)

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

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