λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,007,738
20,007,738
2 × 32 × 29 × 38329
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 38329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 44,846,100
Proper Divisor Sum 24,838,362
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20007737 ← → #20007749

Radix Representation

Decimal 20007738
Binary 1001100010100101100111010 (25 bits)
Octal 0o114245472
Hexadecimal 0x1314B3A

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 38,329 76,658 114,987 229,974 344,961 689,922 1,111,541 2,223,082 3,334,623 6,669,246 10,003,869 20,007,738

Collatz Trajectory (283 steps to reach 1)

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

20,007,738 10,003,869 30,011,608 15,005,804 7,502,902 3,751,451 11,254,354 5,627,177 16,881,532 8,440,766 4,220,383 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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