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Math Directory

9,115,410

2 × 3 × 5 × 311 × 977
Abundant Even Composite

9,115,410 factors as 2 × 3 × 5 × 311 × 977. Its 32 positive divisors give a proper-divisor sum of 12,854,382, so this integer is abundant. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 311 × 977
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,969,792
Proper Divisor Sum 12,854,382
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9115399 ← → #9115427

Radix Representation

Decimal 9115410
Binary 100010110001011100010010 (24 bits)
Octal 0o42613422
Hexadecimal 0x8B1712

Divisor Catalog (5 of 32)

1 2 3 5 6

Collatz Trajectory (106 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.

9,115,410 4,557,705 13,673,116 6,836,558 3,418,279

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