λ
Modular Archive

30,864

24 × 3 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 79,856
Proper Divisor Sum 48,992
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #30859 ← → #30869

Radix Representation

Decimal 30864
Binary 111100010010000 (15 bits)
Octal 0o74220
Hexadecimal 0x7890

Divisor Catalog (20)

Collatz Trajectory (59 steps to reach 1)

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

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