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Math Directory

2,094,435

32 × 5 × 7 × 61 × 109
Abundant Odd Composite

2,094,435 factors as 3^2 × 5 × 7 × 61 × 109. Its 48 positive divisors give a proper-divisor sum of 2,161,245, so this integer is abundant. The Collatz stopping time is 73 steps.

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Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 61 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,255,680
Proper Divisor Sum 2,161,245
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2094413 ← → #2094439

Radix Representation

Decimal 2094435
Binary 111111111010101100011 (21 bits)
Octal 0o7772543
Hexadecimal 0x1FF563

Divisor Catalog (5 of 48)

1 3 5 7 9

Collatz Trajectory (73 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.

2,094,435 6,283,306 3,141,653 9,424,960 4,712,480

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