λ
Modular Archive

19,632

24 × 3 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 50,840
Proper Divisor Sum 31,208
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #19609 ← → #19661

Radix Representation

Decimal 19632
Binary 100110010110000 (15 bits)
Octal 0o46260
Hexadecimal 0x4CB0

Divisor Catalog (20)

Collatz Trajectory (136 steps to reach 1)

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

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