λ
Ratio Atlas

127,896

23 × 3 × 732
Abundant Even Composite

127,896 factors as 2^3 × 3 × 73^2. Its 24 positive divisors give a proper-divisor sum of 196,284, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 73^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 324,180
Proper Divisor Sum 196,284
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #127877 ← → #127913

Radix Representation

Decimal 127896
Binary 11111001110011000 (17 bits)
Octal 0o371630
Hexadecimal 0x1F398

Divisor Catalog (24)

Collatz Trajectory (87 steps to reach 1)

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

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