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Atlas › Integer Profiles › Node 50,003,403

50,003,403

3 × 23 × 31 × 97 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 23 × 31 × 97 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,855,552
Proper Divisor Sum 22,852,149
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #50003399 ← → #50003411

Radix Representation

Decimal 50003403
Binary 10111110101111110111001011 (26 bits)
Octal 0o276576713
Hexadecimal 0x2FAFDCB

Divisor Catalog (32)

1 3 23 31 69 93 97 241 291 713 723 2,139 2,231 3,007 5,543 6,693 7,471 9,021 16,629 22,413 23,377 69,161 70,131 171,833 207,483 515,499 537,671 724,687 1,613,013 2,174,061 16,667,801 50,003,403

Collatz Trajectory (160 steps to reach 1)

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

50,003,403 150,010,210 75,005,105 225,015,316 112,507,658 56,253,829 168,761,488 84,380,744 42,190,372 21,095,186 10,547,593 31,642,780 15,821,390 7,910,695 23,732,086 11,866,043 35,598,130 17,799,065 53,397,196 26,698,598 13,349,299 40,047,898 20,023,949 60,071,848 30,035,924 15,017,962 7,508,981 22,526,944 11,263,472 5,631,736 2,815,868 1,407,934 703,967 2,111,902 1,055,951 3,167,854 1,583,927 4,751,782 2,375,891 7,127,674 3,563,837 10,691,512 5,345,756 2,672,878 1,336,439 4,009,318 2,004,659 6,013,978 3,006,989 9,020,968 4,510,484 2,255,242 1,127,621 3,382,864 1,691,432 845,716 422,858 211,429 634,288 317,144

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