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Math Directory

9,040,928

25 × 13 × 103 × 211
Abundant Even Composite

9,040,928 factors as 2^5 × 13 × 103 × 211. Its 48 positive divisors give a proper-divisor sum of 10,405,408, so this integer is abundant. The Collatz stopping time is 88 steps.

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Prime Factor Structure

Factorization String 2^5 × 13 × 103 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,446,336
Proper Divisor Sum 10,405,408
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9040919 ← → #9040931

Radix Representation

Decimal 9040928
Binary 100010011111010000100000 (24 bits)
Octal 0o42372040
Hexadecimal 0x89F420

Divisor Catalog (5 of 48)

1 2 4 8 13

Collatz Trajectory (88 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.

9,040,928 4,520,464 2,260,232 1,130,116 565,058

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