λ
Modular Archive

89,208

23 × 33 × 7 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 288,000
Proper Divisor Sum 198,792
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #89203 ← → #89209

Radix Representation

Decimal 89208
Binary 10101110001111000 (17 bits)
Octal 0o256170
Hexadecimal 0x15C78

Divisor Catalog (60 of 64)

Collatz Trajectory (71 steps to reach 1)

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

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