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Math Directory

2,317,518

2 × 33 × 7 × 6131
Abundant Even Composite

2,317,518 factors as 2 × 3^3 × 7 × 6131. Its 32 positive divisors give a proper-divisor sum of 3,569,202, so this integer is abundant. The Collatz stopping time is 104 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 6131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,886,720
Proper Divisor Sum 3,569,202
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2317507 ← → #2317519

Radix Representation

Decimal 2317518
Binary 1000110101110011001110 (22 bits)
Octal 0o10656316
Hexadecimal 0x235CCE

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (104 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

2,317,518 1,158,759 3,476,278 1,738,139 5,214,418

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