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Atlas › Integer Profiles › Node 50,009,355

50,009,355

32 × 5 × 11 × 31 × 3259
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 31 × 3259
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,643,520
Proper Divisor Sum 47,634,165
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50009353 ← → #50009357

Radix Representation

Decimal 50009355
Binary 10111110110001010100001011 (26 bits)
Octal 0o276612413
Hexadecimal 0x2FB150B

Divisor Catalog (48)

1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 1,023 1,395 1,705 3,069 3,259 5,115 9,777 15,345 16,295 29,331 35,849 48,885 101,029 107,547 146,655 179,245 303,087 322,641 505,145 537,735 909,261 1,111,319 1,515,435 1,613,205 3,333,957 4,546,305 5,556,595 10,001,871 16,669,785 50,009,355

Collatz Trajectory (230 steps to reach 1)

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

50,009,355 150,028,066 75,014,033 225,042,100 112,521,050 56,260,525 168,781,576 84,390,788 42,195,394 21,097,697 63,293,092 31,646,546 15,823,273 47,469,820 23,734,910 11,867,455 35,602,366 17,801,183 53,403,550 26,701,775 80,105,326 40,052,663 120,157,990 60,078,995 180,236,986 90,118,493 270,355,480 135,177,740 67,588,870 33,794,435 101,383,306 50,691,653 152,074,960 76,037,480 38,018,740 19,009,370 9,504,685 28,514,056 14,257,028 7,128,514 3,564,257 10,692,772 5,346,386 2,673,193 8,019,580 4,009,790 2,004,895 6,014,686 3,007,343 9,022,030 4,511,015 13,533,046 6,766,523 20,299,570 10,149,785 30,449,356 15,224,678 7,612,339 22,837,018 11,418,509

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