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Ratio Atlas
Atlas › Integer Profiles › Node 20,002,917
20,002,917
3 × 11 × 67 × 83 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 67 × 83 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,159,360
Proper Divisor Sum 10,156,443
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20002907 ← → #20002919

Radix Representation

Decimal 20002917
Binary 1001100010011100001100101 (25 bits)
Octal 0o114234145
Hexadecimal 0x1313865

Divisor Catalog (32)

1 3 11 33 67 83 109 201 249 327 737 913 1,199 2,211 2,739 3,597 5,561 7,303 9,047 16,683 21,909 27,141 61,171 80,333 99,517 183,513 240,999 298,551 606,149 1,818,447 6,667,639 20,002,917

Collatz Trajectory (252 steps to reach 1)

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

20,002,917 60,008,752 30,004,376 15,002,188 7,501,094 3,750,547 11,251,642 5,625,821 16,877,464 8,438,732 4,219,366 2,109,683 6,329,050 3,164,525 9,493,576 4,746,788 2,373,394 1,186,697 3,560,092 1,780,046 890,023 2,670,070 1,335,035 4,005,106 2,002,553 6,007,660 3,003,830 1,501,915 4,505,746 2,252,873 6,758,620 3,379,310 1,689,655 5,068,966 2,534,483 7,603,450 3,801,725 11,405,176 5,702,588 2,851,294 1,425,647 4,276,942 2,138,471 6,415,414 3,207,707 9,623,122 4,811,561 14,434,684 7,217,342 3,608,671 10,826,014 5,413,007 16,239,022 8,119,511 24,358,534 12,179,267 36,537,802 18,268,901 54,806,704 27,403,352

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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