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Atlas › Integer Profiles › Node 50,005,950

50,005,950

2 × 3 × 52 × 389 × 857
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 389 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 124,478,640
Proper Divisor Sum 74,472,690
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #50005927 ← → #50005951

Radix Representation

Decimal 50005950
Binary 10111110110000011110111110 (26 bits)
Octal 0o276603676
Hexadecimal 0x2FB07BE

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 150 389 778 857 1,167 1,714 1,945 2,334 2,571 3,890 4,285 5,142 5,835 8,570 9,725 11,670 12,855 19,450 21,425 25,710 29,175 42,850 58,350 64,275 128,550 333,373 666,746 1,000,119 1,666,865 2,000,238 3,333,730 5,000,595 8,334,325 10,001,190 16,668,650 25,002,975 50,005,950

Collatz Trajectory (305 steps to reach 1)

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

50,005,950 25,002,975 75,008,926 37,504,463 112,513,390 56,256,695 168,770,086 84,385,043 253,155,130 126,577,565 379,732,696 189,866,348 94,933,174 47,466,587 142,399,762 71,199,881 213,599,644 106,799,822 53,399,911 160,199,734 80,099,867 240,299,602 120,149,801 360,449,404 180,224,702 90,112,351 270,337,054 135,168,527 405,505,582 202,752,791 608,258,374 304,129,187 912,387,562 456,193,781 1,368,581,344 684,290,672 342,145,336 171,072,668 85,536,334 42,768,167 128,304,502 64,152,251 192,456,754 96,228,377 288,685,132 144,342,566 72,171,283 216,513,850 108,256,925 324,770,776 162,385,388 81,192,694 40,596,347 121,789,042 60,894,521 182,683,564 91,341,782 45,670,891 137,012,674 68,506,337

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