λ
Modular Archive

802,424

23 × 72 × 23 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 23 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,846,800
Proper Divisor Sum 1,044,376
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #802421 ← → #802441

Radix Representation

Decimal 802424
Binary 11000011111001111000 (20 bits)
Octal 0o3037170
Hexadecimal 0xC3E78

Divisor Catalog (48)

Collatz Trajectory (69 steps to reach 1)

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

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