λ
Modular Archive

115,488

25 × 32 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 329,238
Proper Divisor Sum 213,750
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #115471 ← → #115499

Radix Representation

Decimal 115488
Binary 11100001100100000 (17 bits)
Octal 0o341440
Hexadecimal 0x1C320

Divisor Catalog (36)

Collatz Trajectory (48 steps to reach 1)

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

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