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Atlas › Integer Profiles › Node 51,007,368

51,007,368

23 × 3 × 67 × 31721
Abundant Even Composite

51,007,368 factors as 2^3 × 3 × 67 × 31721. Its 32 positive divisors give a proper-divisor sum of 78,418,392, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 31721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 129,425,760
Proper Divisor Sum 78,418,392
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #51007367 ← → #51007379

Radix Representation

Decimal 51007368
Binary 11000010100100111110001000 (26 bits)
Octal 0o302447610
Hexadecimal 0x30A4F88

Divisor Catalog (32)

1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1,608 31,721 63,442 95,163 126,884 190,326 253,768 380,652 761,304 2,125,307 4,250,614 6,375,921 8,501,228 12,751,842 17,002,456 25,503,684 51,007,368

Collatz Trajectory (199 steps to reach 1)

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

51,007,368 25,503,684 12,751,842 6,375,921 19,127,764 9,563,882 4,781,941 14,345,824 7,172,912 3,586,456 1,793,228 896,614 448,307 1,344,922 672,461 2,017,384 1,008,692 504,346 252,173 756,520 378,260 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945

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