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Atlas › Integer Profiles › Node 50,002,068

50,002,068

22 × 3 × 937 × 4447
Abundant Even Composite

50,002,068 factors as 2^2 × 3 × 937 × 4447. Its 24 positive divisors give a proper-divisor sum of 66,820,204, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 937 × 4447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 116,822,272
Proper Divisor Sum 66,820,204
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50002067 ← → #50002079

Radix Representation

Decimal 50002068
Binary 10111110101111100010010100 (26 bits)
Octal 0o276574224
Hexadecimal 0x2FAF894

Divisor Catalog (24)

1 2 3 4 6 12 937 1,874 2,811 3,748 4,447 5,622 8,894 11,244 13,341 17,788 26,682 53,364 4,166,839 8,333,678 12,500,517 16,667,356 25,001,034 50,002,068

Collatz Trajectory (106 steps to reach 1)

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

50,002,068 25,001,034 12,500,517 37,501,552 18,750,776 9,375,388 4,687,694 2,343,847 7,031,542 3,515,771 10,547,314 5,273,657 15,820,972 7,910,486 3,955,243 11,865,730 5,932,865 17,798,596 8,899,298 4,449,649 13,348,948 6,674,474 3,337,237 10,011,712 5,005,856 2,502,928 1,251,464 625,732 312,866 156,433 469,300 234,650 117,325 351,976 175,988 87,994 43,997 131,992 65,996 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469

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