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Math Directory

9,309,160

23 × 5 × 7 × 33247
Abundant Even Composite

9,309,160 factors as 2^3 × 5 × 7 × 33247. Its 32 positive divisors give a proper-divisor sum of 14,629,400, so this integer is abundant. The Collatz stopping time is 194 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 33247
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,938,560
Proper Divisor Sum 14,629,400
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9309151 ← → #9309191

Radix Representation

Decimal 9309160
Binary 100011100000101111101000 (24 bits)
Octal 0o43405750
Hexadecimal 0x8E0BE8

Divisor Catalog (5 of 32)

1 2 4 5 7

Collatz Trajectory (194 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.

9,309,160 4,654,580 2,327,290 1,163,645 3,490,936

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