λ
Modular Archive

38,448

24 × 33 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 89
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 111,600
Proper Divisor Sum 73,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #38447 ← → #38449

Radix Representation

Decimal 38448
Binary 1001011000110000 (16 bits)
Octal 0o113060
Hexadecimal 0x9630

Divisor Catalog (40)

Collatz Trajectory (62 steps to reach 1)

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

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