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Math Directory

7,633,433

37 × 103 × 2003
Deficient Odd Composite

7,633,433 factors as 37 × 103 × 2003. Its 8 positive divisors give a proper-divisor sum of 286,375, so this integer is deficient. The Collatz stopping time is 248 steps.

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Prime Factor Structure

Factorization String 37 × 103 × 2003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,919,808
Proper Divisor Sum 286,375
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7633429 ← → #7633469

Radix Representation

Decimal 7633433
Binary 11101000111101000011001 (23 bits)
Octal 0o35075031
Hexadecimal 0x747A19

Divisor Catalog (5 of 8)

1 37 103 2,003 3,811

Collatz Trajectory (248 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.

7,633,433 22,900,300 11,450,150 5,725,075 17,175,226

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