λ
Ratio Atlas

201,312

25 × 33 × 233
Abundant Even Composite

201,312 factors as 2^5 × 3^3 × 233. Its 48 positive divisors give a proper-divisor sum of 388,368, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 589,680
Proper Divisor Sum 388,368
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #201307 ← → #201329

Radix Representation

Decimal 201312
Binary 110001001001100000 (18 bits)
Octal 0o611140
Hexadecimal 0x31260

Divisor Catalog (48)

Collatz Trajectory (67 steps to reach 1)

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

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