λ
Ratio Atlas

395,784

23 × 32 × 23 × 239
Abundant Even Composite

395,784 factors as 2^3 × 3^2 × 23 × 239. Its 48 positive divisors give a proper-divisor sum of 727,416, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,123,200
Proper Divisor Sum 727,416
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #395767 ← → #395803

Radix Representation

Decimal 395784
Binary 1100000101000001000 (19 bits)
Octal 0o1405010
Hexadecimal 0x60A08

Divisor Catalog (48)

Collatz Trajectory (68 steps to reach 1)

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

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