λ
Ratio Atlas

386,320

24 × 5 × 11 × 439
Abundant Even Composite

386,320 factors as 2^4 × 5 × 11 × 439. Its 40 positive divisors give a proper-divisor sum of 595,760, so this integer is abundant. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 982,080
Proper Divisor Sum 595,760
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #386303 ← → #386329

Radix Representation

Decimal 386320
Binary 1011110010100010000 (19 bits)
Octal 0o1362420
Hexadecimal 0x5E510

Divisor Catalog (40)

Collatz Trajectory (47 steps to reach 1)

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

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