λ
Math Directory

8,644,740

22 × 3 × 5 × 13 × 11083
Abundant Even Composite

8,644,740 factors as 2^2 × 3 × 5 × 13 × 11083. Its 48 positive divisors give a proper-divisor sum of 17,424,828, so this integer is abundant. The Collatz stopping time is 119 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 11083
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,069,568
Proper Divisor Sum 17,424,828
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8644729 ← → #8644751

Radix Representation

Decimal 8644740
Binary 100000111110100010000100 (24 bits)
Octal 0o40764204
Hexadecimal 0x83E884

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (119 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.

8,644,740 4,322,370 2,161,185 6,483,556 3,241,778

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