λ
Modular Archive

21,504

210 × 3 × 7
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 3 × 7
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 65,504
Proper Divisor Sum 44,000
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #21503 ← → #21517

Radix Representation

Decimal 21504
Binary 101010000000000 (15 bits)
Octal 0o52000
Hexadecimal 0x5400

Divisor Catalog (44)

Collatz Trajectory (17 steps to reach 1)

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

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