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Ratio Atlas
Atlas › Integer Profiles › Node 20,007,171
20,007,171
32 × 19 × 23 × 5087
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 19 × 23 × 5087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 31,749,120
Proper Divisor Sum 11,741,949
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20007167 ← → #20007173

Radix Representation

Decimal 20007171
Binary 1001100010100100100000011 (25 bits)
Octal 0o114244403
Hexadecimal 0x1314903

Divisor Catalog (24)

1 3 9 19 23 57 69 171 207 437 1,311 3,933 5,087 15,261 45,783 96,653 117,001 289,959 351,003 869,877 1,053,009 2,223,019 6,669,057 20,007,171

Collatz Trajectory (358 steps to reach 1)

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

20,007,171 60,021,514 30,010,757 90,032,272 45,016,136 22,508,068 11,254,034 5,627,017 16,881,052 8,440,526 4,220,263 12,660,790 6,330,395 18,991,186 9,495,593 28,486,780 14,243,390 7,121,695 21,365,086 10,682,543 32,047,630 16,023,815 48,071,446 24,035,723 72,107,170 36,053,585 108,160,756 54,080,378 27,040,189 81,120,568 40,560,284 20,280,142 10,140,071 30,420,214 15,210,107 45,630,322 22,815,161 68,445,484 34,222,742 17,111,371 51,334,114 25,667,057 77,001,172 38,500,586 19,250,293 57,750,880 28,875,440 14,437,720 7,218,860 3,609,430 1,804,715 5,414,146 2,707,073 8,121,220 4,060,610 2,030,305 6,090,916 3,045,458 1,522,729 4,568,188

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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