λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,002,740
20,002,740
22 × 3 × 5 × 43 × 7753
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 43 × 7753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 57,317,568
Proper Divisor Sum 37,314,828
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20002739 ← → #20002757

Radix Representation

Decimal 20002740
Binary 1001100010011011110110100 (25 bits)
Octal 0o114233664
Hexadecimal 0x13137B4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1,290 2,580 7,753 15,506 23,259 31,012 38,765 46,518 77,530 93,036 116,295 155,060 232,590 333,379 465,180 666,758 1,000,137 1,333,516 1,666,895 2,000,274 3,333,790 4,000,548 5,000,685 6,667,580 10,001,370 20,002,740

Collatz Trajectory (120 steps to reach 1)

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

20,002,740 10,001,370 5,000,685 15,002,056 7,501,028 3,750,514 1,875,257 5,625,772 2,812,886 1,406,443 4,219,330 2,109,665 6,328,996 3,164,498 1,582,249 4,746,748 2,373,374 1,186,687 3,560,062 1,780,031 5,340,094 2,670,047 8,010,142 4,005,071 12,015,214 6,007,607 18,022,822 9,011,411 27,034,234 13,517,117 40,551,352 20,275,676 10,137,838 5,068,919 15,206,758 7,603,379 22,810,138 11,405,069 34,215,208 17,107,604 8,553,802 4,276,901 12,830,704 6,415,352 3,207,676 1,603,838 801,919 2,405,758 1,202,879 3,608,638 1,804,319 5,412,958 2,706,479 8,119,438 4,059,719 12,179,158 6,089,579 18,268,738 9,134,369 27,403,108

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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