λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,005,180
2,005,180
22 × 5 × 107 × 937
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 107 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,254,768
Proper Divisor Sum 2,249,588
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2005151 ← → #2005181

Radix Representation

Decimal 2005180
Binary 111101001100010111100 (21 bits)
Octal 0o7514274
Hexadecimal 0x1E98BC

Divisor Catalog (24)

1 2 4 5 10 20 107 214 428 535 937 1,070 1,874 2,140 3,748 4,685 9,370 18,740 100,259 200,518 401,036 501,295 1,002,590 2,005,180

Collatz Trajectory (290 steps to reach 1)

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

2,005,180 1,002,590 501,295 1,503,886 751,943 2,255,830 1,127,915 3,383,746 1,691,873 5,075,620 2,537,810 1,268,905 3,806,716 1,903,358 951,679 2,855,038 1,427,519 4,282,558 2,141,279 6,423,838 3,211,919 9,635,758 4,817,879 14,453,638 7,226,819 21,680,458 10,840,229 32,520,688 16,260,344 8,130,172 4,065,086 2,032,543 6,097,630 3,048,815 9,146,446 4,573,223 13,719,670 6,859,835 20,579,506 10,289,753 30,869,260 15,434,630 7,717,315 23,151,946 11,575,973 34,727,920 17,363,960 8,681,980 4,340,990 2,170,495 6,511,486 3,255,743 9,767,230 4,883,615 14,650,846 7,325,423 21,976,270 10,988,135 32,964,406 16,482,203

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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