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Math Directory

9,756,580

22 × 5 × 487829
Abundant Even Composite

9,756,580 factors as 2^2 × 5 × 487829. Its 12 positive divisors give a proper-divisor sum of 10,732,280, so this integer is abundant. The Collatz stopping time is 145 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 487829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,488,860
Proper Divisor Sum 10,732,280
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9756569 ← → #9756583

Radix Representation

Decimal 9756580
Binary 100101001101111110100100 (24 bits)
Octal 0o45157644
Hexadecimal 0x94DFA4

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (145 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.

9,756,580 4,878,290 2,439,145 7,317,436 3,658,718

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