33,765,645

3 × 5 × 37 × 83 × 733

33,765,645 factors as 3 × 5 × 37 × 83 × 733. Its 32 positive divisors give a proper-divisor sum of 22,464,627, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 83 × 733

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 56,230,272

Proper Divisor Sum 22,464,627

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #33765629 ← → #33765659

Radix Representation

Decimal	33765645
Binary	10000000110011100100001101 (26 bits)
Octal	0o200634415
Hexadecimal	0x203390D

Divisor Catalog (32)

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

33,765,645 101,296,936 50,648,468 25,324,234 12,662,117 37,986,352 18,993,176 9,496,588 4,748,294 2,374,147 7,122,442 3,561,221 10,683,664 5,341,832 2,670,916 1,335,458 667,729 2,003,188 1,001,594 500,797 1,502,392 751,196 375,598 187,799 563,398 281,699 845,098 422,549 1,267,648 633,824 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950

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