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Math Directory

9,610,973

43 × 397 × 563
Deficient Odd Composite

9,610,973 factors as 43 × 397 × 563. Its 8 positive divisors give a proper-divisor sum of 265,795, so this integer is deficient. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 43 × 397 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,876,768
Proper Divisor Sum 265,795
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9610957 ← → #9610981

Radix Representation

Decimal 9610973
Binary 100100101010011011011101 (24 bits)
Octal 0o44523335
Hexadecimal 0x92A6DD

Divisor Catalog (5 of 8)

1 43 397 563 17,071

Collatz Trajectory (93 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.

9,610,973 28,832,920 14,416,460 7,208,230 3,604,115

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