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Math Directory

5,123,272

23 × 7 × 11 × 8317
Abundant Even Composite

5,123,272 factors as 2^3 × 7 × 11 × 8317. Its 32 positive divisors give a proper-divisor sum of 6,854,648, so this integer is abundant. The Collatz stopping time is 157 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 8317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,977,920
Proper Divisor Sum 6,854,648
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5123269 ← → #5123281

Radix Representation

Decimal 5123272
Binary 10011100010110011001000 (23 bits)
Octal 0o23426310
Hexadecimal 0x4E2CC8

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (157 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.

5,123,272 2,561,636 1,280,818 640,409 1,921,228

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