λ
Sigma Notebook

8,394,750

2 × 32 × 53 × 7 × 13 × 41
Abundant Even Composite

8,394,750 is even and not a perfect square. Its factorization is 2 × 3^2 × 5^3 × 7 × 13 × 41 and its 192 divisors sum to 28,619,136.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^3 × 7 × 13 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 28,619,136
Proper Divisor Sum 20,224,386
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8394739 ← → #8394779

Radix Representation

Decimal 8394750
Binary 100000000001011111111110 (24 bits)
Octal 0o40013776
Hexadecimal 0x8017FE

Divisor Catalog (60 of 192)

1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 41 42 45 50 63 65 70 75 78 82 90 91 105 117 123 125 126 130 150 175 182 195 205 210 225 234 246 250 273 287 315 325 350 369 375 390 410 450 455 525 533 546

Collatz Trajectory (137 steps to reach 1)

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

8,394,750 4,197,375 12,592,126 6,296,063 18,888,190 9,444,095 28,332,286 14,166,143 42,498,430 21,249,215 63,747,646 31,873,823 95,621,470 47,810,735 143,432,206 71,716,103 215,148,310 107,574,155 322,722,466 161,361,233 484,083,700 242,041,850 121,020,925 363,062,776 181,531,388 90,765,694 45,382,847 136,148,542 68,074,271 204,222,814 102,111,407 306,334,222 153,167,111 459,501,334 229,750,667 689,252,002 344,626,001 1,033,878,004 516,939,002 258,469,501 775,408,504 387,704,252 193,852,126 96,926,063 290,778,190 145,389,095 436,167,286 218,083,643 654,250,930 327,125,465 981,376,396 490,688,198 245,344,099 736,032,298 368,016,149 1,104,048,448 552,024,224 276,012,112 138,006,056 69,003,028

More profiles

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