λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,005,182
2,005,182
2 × 33 × 71 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 71 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,527,360
Proper Divisor Sum 2,522,178
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2005181 ← → #2005183

Radix Representation

Decimal 2005182
Binary 111101001100010111110 (21 bits)
Octal 0o7514276
Hexadecimal 0x1E98BE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 71 142 213 426 523 639 1,046 1,278 1,569 1,917 3,138 3,834 4,707 9,414 14,121 28,242 37,133 74,266 111,399 222,798 334,197 668,394 1,002,591 2,005,182

Collatz Trajectory (290 steps to reach 1)

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

2,005,182 1,002,591 3,007,774 1,503,887 4,511,662 2,255,831 6,767,494 3,383,747 10,151,242 5,075,621 15,226,864 7,613,432 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 #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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