λ
Modular Archive

82,008

23 × 32 × 17 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 238,680
Proper Divisor Sum 156,672
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #82007 ← → #82009

Radix Representation

Decimal 82008
Binary 10100000001011000 (17 bits)
Octal 0o240130
Hexadecimal 0x14058

Divisor Catalog (48)

Collatz Trajectory (151 steps to reach 1)

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

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