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Atlas › Integer Profiles › Node 50,003,898

50,003,898

2 × 3 × 7 × 401 × 2969
Abundant Even Composite

50,003,898 factors as 2 × 3 × 7 × 401 × 2969. Its 32 positive divisors give a proper-divisor sum of 64,614,342, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 401 × 2969
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 114,618,240
Proper Divisor Sum 64,614,342
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #50003893 ← → #50003903

Radix Representation

Decimal 50003898
Binary 10111110101111111110111010 (26 bits)
Octal 0o276577672
Hexadecimal 0x2FAFFBA

Divisor Catalog (32)

1 2 3 6 7 14 21 42 401 802 1,203 2,406 2,807 2,969 5,614 5,938 8,421 8,907 16,842 17,814 20,783 41,566 62,349 124,698 1,190,569 2,381,138 3,571,707 7,143,414 8,333,983 16,667,966 25,001,949 50,003,898

Collatz Trajectory (106 steps to reach 1)

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

50,003,898 25,001,949 75,005,848 37,502,924 18,751,462 9,375,731 28,127,194 14,063,597 42,190,792 21,095,396 10,547,698 5,273,849 15,821,548 7,910,774 3,955,387 11,866,162 5,933,081 17,799,244 8,899,622 4,449,811 13,349,434 6,674,717 20,024,152 10,012,076 5,006,038 2,503,019 7,509,058 3,754,529 11,263,588 5,631,794 2,815,897 8,447,692 4,223,846 2,111,923 6,335,770 3,167,885 9,503,656 4,751,828 2,375,914 1,187,957 3,563,872 1,781,936 890,968 445,484 222,742 111,371 334,114 167,057 501,172 250,586 125,293 375,880 187,940 93,970 46,985 140,956 70,478 35,239 105,718 52,859

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