λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,021,342
20,021,342
2 × 11 × 172 × 47 × 67
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 17^2 × 47 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,073,728
Proper Divisor Sum 16,052,386
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20021341 ← → #20021357

Radix Representation

Decimal 20021342
Binary 1001100011000000001011110 (25 bits)
Octal 0o114300136
Hexadecimal 0x131805E

Divisor Catalog (48)

1 2 11 17 22 34 47 67 94 134 187 289 374 517 578 737 799 1,034 1,139 1,474 1,598 2,278 3,149 3,179 6,298 6,358 8,789 12,529 13,583 17,578 19,363 25,058 27,166 34,639 38,726 53,533 69,278 107,066 149,413 212,993 298,826 425,986 588,863 910,061 1,177,726 1,820,122 10,010,671 20,021,342

Collatz Trajectory (190 steps to reach 1)

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

20,021,342 10,010,671 30,032,014 15,016,007 45,048,022 22,524,011 67,572,034 33,786,017 101,358,052 50,679,026 25,339,513 76,018,540 38,009,270 19,004,635 57,013,906 28,506,953 85,520,860 42,760,430 21,380,215 64,140,646 32,070,323 96,210,970 48,105,485 144,316,456 72,158,228 36,079,114 18,039,557 54,118,672 27,059,336 13,529,668 6,764,834 3,382,417 10,147,252 5,073,626 2,536,813 7,610,440 3,805,220 1,902,610 951,305 2,853,916 1,426,958 713,479 2,140,438 1,070,219 3,210,658 1,605,329 4,815,988 2,407,994 1,203,997 3,611,992 1,805,996 902,998 451,499 1,354,498 677,249 2,031,748 1,015,874 507,937 1,523,812 761,906

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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