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Math Directory

4,730,944

26 × 29 × 2549
Abundant Even Composite

4,730,944 factors as 2^6 × 29 × 2549. Its 28 positive divisors give a proper-divisor sum of 4,984,556, so this integer is abundant. The Collatz stopping time is 100 steps.

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Prime Factor Structure

Factorization String 2^6 × 29 × 2549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 9,715,500
Proper Divisor Sum 4,984,556
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4730933 ← → #4730951

Radix Representation

Decimal 4730944
Binary 10010000011000001000000 (23 bits)
Octal 0o22030100
Hexadecimal 0x483040

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (100 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.

4,730,944 2,365,472 1,182,736 591,368 295,684

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