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Math Directory

7,700,949

32 × 17 × 50333
Deficient Odd Composite

7,700,949 factors as 3^2 × 17 × 50333. Its 12 positive divisors give a proper-divisor sum of 4,077,207, so this integer is deficient. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 3^2 × 17 × 50333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,778,156
Proper Divisor Sum 4,077,207
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7700941 ← → #7700963

Radix Representation

Decimal 7700949
Binary 11101011000000111010101 (23 bits)
Octal 0o35300725
Hexadecimal 0x7581D5

Divisor Catalog (5 of 12)

1 3 9 17 51

Collatz Trajectory (98 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.

7,700,949 23,102,848 11,551,424 5,775,712 2,887,856

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