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Math Directory

4,945,444

22 × 7 × 347 × 509
Abundant Even Composite

4,945,444 factors as 2^2 × 7 × 347 × 509. Its 24 positive divisors give a proper-divisor sum of 4,993,436, so this integer is abundant. The Collatz stopping time is 113 steps.

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Prime Factor Structure

Factorization String 2^2 × 7 × 347 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,938,880
Proper Divisor Sum 4,993,436
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4945411 ← → #4945469

Radix Representation

Decimal 4945444
Binary 10010110111011000100100 (23 bits)
Octal 0o22673044
Hexadecimal 0x4B7624

Divisor Catalog (5 of 24)

1 2 4 7 14

Collatz Trajectory (113 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.

4,945,444 2,472,722 1,236,361 3,709,084 1,854,542

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