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Atlas › Integer Profiles › Node 50,731,068

50,731,068

22 × 3 × 89 × 47501
Abundant Even Composite

50,731,068 factors as 2^2 × 3 × 89 × 47501. Its 24 positive divisors give a proper-divisor sum of 68,973,972, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 47501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 119,705,040
Proper Divisor Sum 68,973,972
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #50731067 ← → #50731069

Radix Representation

Decimal 50731068
Binary 11000001100001100000111100 (26 bits)
Octal 0o301414074
Hexadecimal 0x306183C

Divisor Catalog (24)

1 2 3 4 6 12 89 178 267 356 534 1,068 47,501 95,002 142,503 190,004 285,006 570,012 4,227,589 8,455,178 12,682,767 16,910,356 25,365,534 50,731,068

Collatz Trajectory (168 steps to reach 1)

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

50,731,068 25,365,534 12,682,767 38,048,302 19,024,151 57,072,454 28,536,227 85,608,682 42,804,341 128,413,024 64,206,512 32,103,256 16,051,628 8,025,814 4,012,907 12,038,722 6,019,361 18,058,084 9,029,042 4,514,521 13,543,564 6,771,782 3,385,891 10,157,674 5,078,837 15,236,512 7,618,256 3,809,128 1,904,564 952,282 476,141 1,428,424 714,212 357,106 178,553 535,660 267,830 133,915 401,746 200,873 602,620 301,310 150,655 451,966 225,983 677,950 338,975 1,016,926 508,463 1,525,390 762,695 2,288,086 1,144,043 3,432,130 1,716,065 5,148,196 2,574,098 1,287,049 3,861,148 1,930,574

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