λ
Sigma Notebook

8,805,450

2 × 3 × 52 × 47 × 1249
Abundant Even Composite

8,805,450 is even and not a perfect square. Its factorization is 2 × 3 × 5^2 × 47 × 1249 and its 48 divisors sum to 22,320,000.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 47 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,320,000
Proper Divisor Sum 13,514,550
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8805449 ← → #8805451

Radix Representation

Decimal 8805450
Binary 100001100101110001001010 (24 bits)
Octal 0o41456112
Hexadecimal 0x865C4A

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1,175 1,249 1,410 2,350 2,498 3,525 3,747 6,245 7,050 7,494 12,490 18,735 31,225 37,470 58,703 62,450 93,675 117,406 176,109 187,350 293,515 352,218 587,030 880,545 1,467,575 1,761,090 2,935,150 4,402,725 8,805,450

Collatz Trajectory (243 steps to reach 1)

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

8,805,450 4,402,725 13,208,176 6,604,088 3,302,044 1,651,022 825,511 2,476,534 1,238,267 3,714,802 1,857,401 5,572,204 2,786,102 1,393,051 4,179,154 2,089,577 6,268,732 3,134,366 1,567,183 4,701,550 2,350,775 7,052,326 3,526,163 10,578,490 5,289,245 15,867,736 7,933,868 3,966,934 1,983,467 5,950,402 2,975,201 8,925,604 4,462,802 2,231,401 6,694,204 3,347,102 1,673,551 5,020,654 2,510,327 7,530,982 3,765,491 11,296,474 5,648,237 16,944,712 8,472,356 4,236,178 2,118,089 6,354,268 3,177,134 1,588,567 4,765,702 2,382,851 7,148,554 3,574,277 10,722,832 5,361,416 2,680,708 1,340,354 670,177 2,010,532

More profiles

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