λ
Ratio Atlas

285,584

24 × 13 × 1373
Abundant Even Composite

285,584 factors as 2^4 × 13 × 1373. Its 20 positive divisors give a proper-divisor sum of 310,732, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 1373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 596,316
Proper Divisor Sum 310,732
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #285569 ← → #285599

Radix Representation

Decimal 285584
Binary 1000101101110010000 (19 bits)
Octal 0o1055620
Hexadecimal 0x45B90

Divisor Catalog (20)

Collatz Trajectory (145 steps to reach 1)

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

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