λ
Sigma Notebook

8,325,042

2 × 3 × 112 × 11467
Abundant Even Composite

8,325,042 is even and not a perfect square. Its factorization is 2 × 3 × 11^2 × 11467 and its 24 divisors sum to 18,302,928.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 11467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,302,928
Proper Divisor Sum 9,977,886
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8325041 ← → #8325047

Radix Representation

Decimal 8325042
Binary 11111110000011110110010 (23 bits)
Octal 0o37603662
Hexadecimal 0x7F07B2

Divisor Catalog (24)

1 2 3 6 11 22 33 66 121 242 363 726 11,467 22,934 34,401 68,802 126,137 252,274 378,411 756,822 1,387,507 2,775,014 4,162,521 8,325,042

Collatz Trajectory (80 steps to reach 1)

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

8,325,042 4,162,521 12,487,564 6,243,782 3,121,891 9,365,674 4,682,837 14,048,512 7,024,256 3,512,128 1,756,064 878,032 439,016 219,508 109,754 54,877 164,632 82,316 41,158 20,579 61,738 30,869 92,608 46,304 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

More profiles

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