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Math Directory

3,785,375

53 × 11 × 2753
Deficient Odd Composite

3,785,375 factors as 5^3 × 11 × 2753. Its 16 positive divisors give a proper-divisor sum of 1,370,113, so this integer is deficient. The Collatz stopping time is 247 steps.

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Prime Factor Structure

Factorization String 5^3 × 11 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,155,488
Proper Divisor Sum 1,370,113
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3785371 ← → #3785393

Radix Representation

Decimal 3785375
Binary 1110011100001010011111 (22 bits)
Octal 0o16341237
Hexadecimal 0x39C29F

Divisor Catalog (5 of 16)

1 5 11 25 55

Collatz Trajectory (247 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.

3,785,375 11,356,126 5,678,063 17,034,190 8,517,095

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