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8,000,856

23 × 34 × 12347
Abundant Even Composite

8,000,856 factors as 2^3 × 3^4 × 12347. Its 40 positive divisors give a proper-divisor sum of 14,410,764, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 12347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,411,620
Proper Divisor Sum 14,410,764
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8000831 ← → #8000869

Radix Representation

Decimal 8000856
Binary 11110100001010101011000 (23 bits)
Octal 0o36412530
Hexadecimal 0x7A1558

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 12,347 24,694 37,041 49,388 74,082 98,776 111,123 148,164 222,246 296,328 333,369 444,492 666,738 888,984 1,000,107 1,333,476 2,000,214 2,666,952 4,000,428 8,000,856

Collatz Trajectory (186 steps to reach 1)

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

8,000,856 4,000,428 2,000,214 1,000,107 3,000,322 1,500,161 4,500,484 2,250,242 1,125,121 3,375,364 1,687,682 843,841 2,531,524 1,265,762 632,881 1,898,644 949,322 474,661 1,423,984 711,992 355,996 177,998 88,999 266,998 133,499 400,498 200,249 600,748 300,374 150,187 450,562 225,281 675,844 337,922 168,961 506,884 253,442 126,721 380,164 190,082 95,041 285,124 142,562 71,281 213,844 106,922 53,461 160,384 80,192 40,096 20,048 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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