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Math Directory

7,676,370

2 × 310 × 5 × 13
Abundant Even Composite

7,676,370 factors as 2 × 3^10 × 5 × 13. Its 88 positive divisors give a proper-divisor sum of 14,644,026, so this integer is abundant. The Collatz stopping time is 279 steps.

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Prime Factor Structure

Factorization String 2 × 3^10 × 5 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 22,320,396
Proper Divisor Sum 14,644,026
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7676363 ← → #7676371

Radix Representation

Decimal 7676370
Binary 11101010010000111010010 (23 bits)
Octal 0o35220722
Hexadecimal 0x7521D2

Divisor Catalog (5 of 88)

1 2 3 5 6

Collatz Trajectory (279 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.

7,676,370 3,838,185 11,514,556 5,757,278 2,878,639

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