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Math Directory

8,008,232

23 × 23 × 71 × 613
Deficient Even Composite

8,008,232 factors as 2^3 × 23 × 71 × 613. Its 32 positive divisors give a proper-divisor sum of 7,906,648, so this integer is deficient. The Collatz stopping time is 49 steps.

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Prime Factor Structure

Factorization String 2^3 × 23 × 71 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,914,880
Proper Divisor Sum 7,906,648
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8008229 ← → #8008237

Radix Representation

Decimal 8008232
Binary 11110100011001000101000 (23 bits)
Octal 0o36431050
Hexadecimal 0x7A3228

Divisor Catalog (5 of 32)

1 2 4 8 23

Collatz Trajectory (49 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.

8,008,232 4,004,116 2,002,058 1,001,029 3,003,088

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