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Atlas › Integer Profiles › Node 8,360,418

8,360,418

2 × 3 × 11 × 19 × 59 × 113
Abundant Even Composite

8,360,418 factors as 2 × 3 × 11 × 19 × 59 × 113. Its 64 positive divisors give a proper-divisor sum of 11,338,782, so this integer is abundant. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19 × 59 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,699,200
Proper Divisor Sum 11,338,782
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8360411 ← → #8360419

Radix Representation

Decimal 8360418
Binary 11111111001000111100010 (23 bits)
Octal 0o37710742
Hexadecimal 0x7F91E2

Divisor Catalog (60 of 64)

1 2 3 6 11 19 22 33 38 57 59 66 113 114 118 177 209 226 339 354 418 627 649 678 1,121 1,243 1,254 1,298 1,947 2,147 2,242 2,486 3,363 3,729 3,894 4,294 6,441 6,667 6,726 7,458 12,331 12,882 13,334 20,001 23,617 24,662 36,993 40,002 47,234 70,851 73,337 73,986 126,673 141,702 146,674 220,011 253,346 380,019 440,022 760,038

Collatz Trajectory (336 steps to reach 1)

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

8,360,418 4,180,209 12,540,628 6,270,314 3,135,157 9,405,472 4,702,736 2,351,368 1,175,684 587,842 293,921 881,764 440,882 220,441 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406 117,703 353,110 176,555 529,666 264,833 794,500 397,250 198,625 595,876 297,938 148,969 446,908 223,454 111,727 335,182 167,591 502,774 251,387 754,162 377,081 1,131,244 565,622 282,811 848,434 424,217 1,272,652 636,326 318,163

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