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Math Directory

9,488,853

33 × 11 × 43 × 743
Deficient Odd Composite

9,488,853 factors as 3^3 × 11 × 43 × 743. Its 32 positive divisors give a proper-divisor sum of 6,224,427, so this integer is deficient. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 3^3 × 11 × 43 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,713,280
Proper Divisor Sum 6,224,427
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9488837 ← → #9488861

Radix Representation

Decimal 9488853
Binary 100100001100100111010101 (24 bits)
Octal 0o44144725
Hexadecimal 0x90C9D5

Divisor Catalog (5 of 32)

1 3 9 11 27

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.

9,488,853 28,466,560 14,233,280 7,116,640 3,558,320

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