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Atlas › Integer Profiles › Node 7,323,918

7,323,918

2 × 3 × 7 × 103 × 1693
Abundant Even Composite

7,323,918 factors as 2 × 3 × 7 × 103 × 1693. Its 32 positive divisors give a proper-divisor sum of 9,588,978, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 103 × 1693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,912,896
Proper Divisor Sum 9,588,978
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7323917 ← → #7323919

Radix Representation

Decimal 7323918
Binary 11011111100000100001110 (23 bits)
Octal 0o33740416
Hexadecimal 0x6FC10E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 103 206 309 618 721 1,442 1,693 2,163 3,386 4,326 5,079 10,158 11,851 23,702 35,553 71,106 174,379 348,758 523,137 1,046,274 1,220,653 2,441,306 3,661,959 7,323,918

Collatz Trajectory (204 steps to reach 1)

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

7,323,918 3,661,959 10,985,878 5,492,939 16,478,818 8,239,409 24,718,228 12,359,114 6,179,557 18,538,672 9,269,336 4,634,668 2,317,334 1,158,667 3,476,002 1,738,001 5,214,004 2,607,002 1,303,501 3,910,504 1,955,252 977,626 488,813 1,466,440 733,220 366,610 183,305 549,916 274,958 137,479 412,438 206,219 618,658 309,329 927,988 463,994 231,997 695,992 347,996 173,998 86,999 260,998 130,499 391,498 195,749 587,248 293,624 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720

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