λ
Math Directory

8,551,140

22 × 3 × 5 × 13 × 19 × 577
Abundant Even Composite

8,551,140 factors as 2^2 × 3 × 5 × 13 × 19 × 577. Its 96 positive divisors give a proper-divisor sum of 18,637,980, so this integer is abundant. The Collatz stopping time is 80 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 19 × 577
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 27,189,120
Proper Divisor Sum 18,637,980
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8551139 ← → #8551157

Radix Representation

Decimal 8551140
Binary 100000100111101011100100 (24 bits)
Octal 0o40475344
Hexadecimal 0x827AE4

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (80 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.

8,551,140 4,275,570 2,137,785 6,413,356 3,206,678

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