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Math Directory

2,801,268

22 × 32 × 77813
Abundant Even Composite

2,801,268 factors as 2^2 × 3^2 × 77813. Its 18 positive divisors give a proper-divisor sum of 4,279,806, so this integer is abundant. The Collatz stopping time is 107 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 77813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,081,074
Proper Divisor Sum 4,279,806
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2801257 ← → #2801273

Radix Representation

Decimal 2801268
Binary 1010101011111001110100 (22 bits)
Octal 0o12537164
Hexadecimal 0x2ABE74

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (107 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.

2,801,268 1,400,634 700,317 2,100,952 1,050,476

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