λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,007,741
20,007,741
3 × 132 × 19 × 31 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13^2 × 19 × 31 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,856,640
Proper Divisor Sum 11,848,899
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20007737 ← → #20007749

Radix Representation

Decimal 20007741
Binary 1001100010100101100111101 (25 bits)
Octal 0o114245475
Hexadecimal 0x1314B3D

Divisor Catalog (48)

1 3 13 19 31 39 57 67 93 169 201 247 403 507 589 741 871 1,209 1,273 1,767 2,077 2,613 3,211 3,819 5,239 6,231 7,657 9,633 11,323 15,717 16,549 22,971 27,001 33,969 39,463 49,647 81,003 99,541 118,389 215,137 298,623 351,013 513,019 645,411 1,053,039 1,539,057 6,669,247 20,007,741

Collatz Trajectory (283 steps to reach 1)

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

20,007,741 60,023,224 30,011,612 15,005,806 7,502,903 22,508,710 11,254,355 33,763,066 16,881,533 50,644,600 25,322,300 12,661,150 6,330,575 18,991,726 9,495,863 28,487,590 14,243,795 42,731,386 21,365,693 64,097,080 32,048,540 16,024,270 8,012,135 24,036,406 12,018,203 36,054,610 18,027,305 54,081,916 27,040,958 13,520,479 40,561,438 20,280,719 60,842,158 30,421,079 91,263,238 45,631,619 136,894,858 68,447,429 205,342,288 102,671,144 51,335,572 25,667,786 12,833,893 38,501,680 19,250,840 9,625,420 4,812,710 2,406,355 7,219,066 3,609,533 10,828,600 5,414,300 2,707,150 1,353,575 4,060,726 2,030,363 6,091,090 3,045,545 9,136,636 4,568,318

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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