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Math Directory

7,790,524

22 × 7 × 278233
Abundant Even Composite

7,790,524 factors as 2^2 × 7 × 278233. Its 12 positive divisors give a proper-divisor sum of 7,790,580, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2^2 × 7 × 278233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,581,104
Proper Divisor Sum 7,790,580
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7790507 ← → #7790567

Radix Representation

Decimal 7790524
Binary 11101101101111110111100 (23 bits)
Octal 0o35557674
Hexadecimal 0x76DFBC

Divisor Catalog (5 of 12)

1 2 4 7 14

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.

7,790,524 3,895,262 1,947,631 5,842,894 2,921,447

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