λ
Ratio Atlas

317,152

25 × 11 × 17 × 53
Abundant Even Composite

317,152 factors as 2^5 × 11 × 17 × 53. Its 48 positive divisors give a proper-divisor sum of 417,680, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 17 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 734,832
Proper Divisor Sum 417,680
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #317123 ← → #317159

Radix Representation

Decimal 317152
Binary 1001101011011100000 (19 bits)
Octal 0o1153340
Hexadecimal 0x4D6E0

Divisor Catalog (48)

Collatz Trajectory (78 steps to reach 1)

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

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