λ
Ratio Atlas

395,168

25 × 53 × 233
Abundant Even Composite

395,168 factors as 2^5 × 53 × 233. Its 24 positive divisors give a proper-divisor sum of 400,900, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 53 × 233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 796,068
Proper Divisor Sum 400,900
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #395159 ← → #395173

Radix Representation

Decimal 395168
Binary 1100000011110100000 (19 bits)
Octal 0o1403640
Hexadecimal 0x607A0

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

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