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Math Directory

5,001,033

3 × 727 × 2293
Deficient Odd Composite

5,001,033 factors as 3 × 727 × 2293. Its 8 positive divisors give a proper-divisor sum of 1,679,095, so this integer is deficient. The Collatz stopping time is 250 steps.

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Prime Factor Structure

Factorization String 3 × 727 × 2293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,680,128
Proper Divisor Sum 1,679,095
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #5001023 ← → #5001049

Radix Representation

Decimal 5001033
Binary 10011000100111101001001 (23 bits)
Octal 0o23047511
Hexadecimal 0x4C4F49

Divisor Catalog (5 of 8)

1 3 727 2,181 2,293

Collatz Trajectory (250 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.

5,001,033 15,003,100 7,501,550 3,750,775 11,252,326

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