λ
Match Zalai

7,500,744

23 × 32 × 19 × 5483
Abundant Even Composite

7,500,744 factors as 2^3 × 3^2 × 19 × 5483. Its 48 positive divisors give a proper-divisor sum of 13,886,856, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 5483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,387,600
Proper Divisor Sum 13,886,856
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7500739 ← → #7500749

Radix Representation

Decimal 7500744
Binary 11100100111001111001000 (23 bits)
Octal 0o34471710
Hexadecimal 0x7273C8

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (173 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.

7,500,744 3,750,372 1,875,186 937,593 2,812,780

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