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Atlas › Integer Profiles › Node 18,200,088

18,200,088

23 × 32 × 252779
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 252779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,292,100
Proper Divisor Sum 31,092,012
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #18200087 ← → #18200113

Radix Representation

Decimal 18200088
Binary 1000101011011011000011000 (25 bits)
Octal 0o105333030
Hexadecimal 0x115B618

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 252,779 505,558 758,337 1,011,116 1,516,674 2,022,232 2,275,011 3,033,348 4,550,022 6,066,696 9,100,044 18,200,088

Collatz Trajectory (257 steps to reach 1)

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

18,200,088 9,100,044 4,550,022 2,275,011 6,825,034 3,412,517 10,237,552 5,118,776 2,559,388 1,279,694 639,847 1,919,542 959,771 2,879,314 1,439,657 4,318,972 2,159,486 1,079,743 3,239,230 1,619,615 4,858,846 2,429,423 7,288,270 3,644,135 10,932,406 5,466,203 16,398,610 8,199,305 24,597,916 12,298,958 6,149,479 18,448,438 9,224,219 27,672,658 13,836,329 41,508,988 20,754,494 10,377,247 31,131,742 15,565,871 46,697,614 23,348,807 70,046,422 35,023,211 105,069,634 52,534,817 157,604,452 78,802,226 39,401,113 118,203,340 59,101,670 29,550,835 88,652,506 44,326,253 132,978,760 66,489,380 33,244,690 16,622,345 49,867,036 24,933,518

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