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Math Directory

3,684,719

37 × 53 × 1879
Deficient Odd Composite

3,684,719 factors as 37 × 53 × 1879. Its 8 positive divisors give a proper-divisor sum of 173,041, so this integer is deficient. The Collatz stopping time is 128 steps.

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Prime Factor Structure

Factorization String 37 × 53 × 1879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,857,760
Proper Divisor Sum 173,041
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3684701 ← → #3684721

Radix Representation

Decimal 3684719
Binary 1110000011100101101111 (22 bits)
Octal 0o16034557
Hexadecimal 0x38396F

Divisor Catalog (5 of 8)

1 37 53 1,879 1,961

Collatz Trajectory (128 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.

3,684,719 11,054,158 5,527,079 16,581,238 8,290,619

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