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Atlas › Integer Profiles › Node 9,733,944

9,733,944

23 × 3 × 11 × 36871
Abundant Even Composite

9,733,944 factors as 2^3 × 3 × 11 × 36871. Its 32 positive divisors give a proper-divisor sum of 16,813,896, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 36871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,547,840
Proper Divisor Sum 16,813,896
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9733943 ← → #9733957

Radix Representation

Decimal 9733944
Binary 100101001000011100111000 (24 bits)
Octal 0o45103470
Hexadecimal 0x948738

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 36,871 73,742 110,613 147,484 221,226 294,968 405,581 442,452 811,162 884,904 1,216,743 1,622,324 2,433,486 3,244,648 4,866,972 9,733,944

Collatz Trajectory (238 steps to reach 1)

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

9,733,944 4,866,972 2,433,486 1,216,743 3,650,230 1,825,115 5,475,346 2,737,673 8,213,020 4,106,510 2,053,255 6,159,766 3,079,883 9,239,650 4,619,825 13,859,476 6,929,738 3,464,869 10,394,608 5,197,304 2,598,652 1,299,326 649,663 1,948,990 974,495 2,923,486 1,461,743 4,385,230 2,192,615 6,577,846 3,288,923 9,866,770 4,933,385 14,800,156 7,400,078 3,700,039 11,100,118 5,550,059 16,650,178 8,325,089 24,975,268 12,487,634 6,243,817 18,731,452 9,365,726 4,682,863 14,048,590 7,024,295 21,072,886 10,536,443 31,609,330 15,804,665 47,413,996 23,706,998 11,853,499 35,560,498 17,780,249 53,340,748 26,670,374 13,335,187

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