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Math Directory

9,661,047

3 × 11 × 292759
Deficient Odd Composite

9,661,047 factors as 3 × 11 × 292759. Its 8 positive divisors give a proper-divisor sum of 4,391,433, so this integer is deficient. The Collatz stopping time is 119 steps.

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Prime Factor Structure

Factorization String 3 × 11 × 292759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,052,480
Proper Divisor Sum 4,391,433
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9661037 ← → #9661079

Radix Representation

Decimal 9661047
Binary 100100110110101001110111 (24 bits)
Octal 0o44665167
Hexadecimal 0x936A77

Divisor Catalog (5 of 8)

1 3 11 33 292,759

Collatz Trajectory (119 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.

9,661,047 28,983,142 14,491,571 43,474,714 21,737,357

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