λ
Ratio Atlas

182,385

33 × 5 × 7 × 193
Abundant Odd Composite

182,385 factors as 3^3 × 5 × 7 × 193. Its 32 positive divisors give a proper-divisor sum of 190,095, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 372,480
Proper Divisor Sum 190,095
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #182353 ← → #182387

Radix Representation

Decimal 182385
Binary 101100100001110001 (18 bits)
Octal 0o544161
Hexadecimal 0x2C871

Divisor Catalog (32)

Collatz Trajectory (72 steps to reach 1)

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

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