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Atlas › Integer Profiles › Node 8,962,884

8,962,884

22 × 32 × 72 × 5081
Abundant Even Composite

8,962,884 factors as 2^2 × 3^2 × 7^2 × 5081. Its 54 positive divisors give a proper-divisor sum of 17,397,450, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 5081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 26,360,334
Proper Divisor Sum 17,397,450
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8962879 ← → #8962901

Radix Representation

Decimal 8962884
Binary 100010001100001101000100 (24 bits)
Octal 0o42141504
Hexadecimal 0x88C344

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,764 5,081 10,162 15,243 20,324 30,486 35,567 45,729 60,972 71,134 91,458 106,701 142,268 182,916 213,402 248,969 320,103 426,804 497,938 640,206 746,907 995,876 1,280,412 1,493,814 2,240,721 2,987,628 4,481,442 8,962,884

Collatz Trajectory (212 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,962,884 4,481,442 2,240,721 6,722,164 3,361,082 1,680,541 5,041,624 2,520,812 1,260,406 630,203 1,890,610 945,305 2,835,916 1,417,958 708,979 2,126,938 1,063,469 3,190,408 1,595,204 797,602 398,801 1,196,404 598,202 299,101 897,304 448,652 224,326 112,163 336,490 168,245 504,736 252,368 126,184 63,092 31,546 15,773 47,320 23,660 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170

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