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Math Directory

8,616,650

2 × 52 × 72 × 3517
Abundant Even Composite

8,616,650 factors as 2 × 5^2 × 7^2 × 3517. Its 36 positive divisors give a proper-divisor sum of 10,032,268, so this integer is abundant. The Collatz stopping time is 181 steps.

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Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 3517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,648,918
Proper Divisor Sum 10,032,268
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8616599 ← → #8616653

Radix Representation

Decimal 8616650
Binary 100000110111101011001010 (24 bits)
Octal 0o40675312
Hexadecimal 0x837ACA

Divisor Catalog (5 of 36)

1 2 5 7 10

Collatz Trajectory (181 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.

8,616,650 4,308,325 12,924,976 6,462,488 3,231,244

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