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Math Directory

3,677,434

2 × 1838717
Deficient Even Composite

3,677,434 factors as 2 × 1838717. Its 4 positive divisors give a proper-divisor sum of 1,838,720, so this integer is deficient. The Collatz stopping time is 110 steps.

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Prime Factor Structure

Factorization String 2 × 1838717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,516,154
Proper Divisor Sum 1,838,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3677383 ← → #3677441

Radix Representation

Decimal 3677434
Binary 1110000001110011111010 (22 bits)
Octal 0o16016372
Hexadecimal 0x381CFA

Divisor Catalog (4)

1 2 1,838,717 3,677,434

Collatz Trajectory (110 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.

3,677,434 1,838,717 5,516,152 2,758,076 1,379,038

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