λ
Modular Archive

48,672

25 × 32 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 149,877
Proper Divisor Sum 101,205
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #48661 ← → #48673

Radix Representation

Decimal 48672
Binary 1011111000100000 (16 bits)
Octal 0o137040
Hexadecimal 0xBE20

Divisor Catalog (54)

Collatz Trajectory (114 steps to reach 1)

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

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