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Math Directory

8,307,641

8307641
Deficient Odd Prime

8,307,641 factors as 8307641. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 199 steps.

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Prime Factor Structure

Factorization String 8307641
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,307,642
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8307631 ← → #8307661

Radix Representation

Decimal 8307641
Binary 11111101100001110111001 (23 bits)
Octal 0o37541671
Hexadecimal 0x7EC3B9

Divisor Catalog (2)

Collatz Trajectory (199 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.

8,307,641 24,922,924 12,461,462 6,230,731 18,692,194

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