λ
Sigma Notebook

8,961,006

2 × 3 × 17 × 87853
Abundant Even Composite

8,961,006 is even and not a perfect square. Its factorization is 2 × 3 × 17 × 87853 and its 16 divisors sum to 18,976,464.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 87853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,976,464
Proper Divisor Sum 10,015,458
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8960983 ← → #8961019

Radix Representation

Decimal 8961006
Binary 100010001011101111101110 (24 bits)
Octal 0o42135756
Hexadecimal 0x88BBEE

Divisor Catalog (16)

1 2 3 6 17 34 51 102 87,853 175,706 263,559 527,118 1,493,501 2,987,002 4,480,503 8,961,006

Collatz Trajectory (119 steps to reach 1)

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

8,961,006 4,480,503 13,441,510 6,720,755 20,162,266 10,081,133 30,243,400 15,121,700 7,560,850 3,780,425 11,341,276 5,670,638 2,835,319 8,505,958 4,252,979 12,758,938 6,379,469 19,138,408 9,569,204 4,784,602 2,392,301 7,176,904 3,588,452 1,794,226 897,113 2,691,340 1,345,670 672,835 2,018,506 1,009,253 3,027,760 1,513,880 756,940 378,470 189,235 567,706 283,853 851,560 425,780 212,890 106,445 319,336 159,668 79,834 39,917 119,752 59,876 29,938 14,969 44,908 22,454 11,227 33,682 16,841 50,524 25,262 12,631 37,894 18,947 56,842

More profiles

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