λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,006,480
2,006,480
24 × 5 × 7 × 3583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 3583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,332,992
Proper Divisor Sum 3,326,512
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2006461 ← → #2006483

Radix Representation

Decimal 2006480
Binary 111101001110111010000 (21 bits)
Octal 0o7516720
Hexadecimal 0x1E9DD0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3,583 7,166 14,332 17,915 25,081 28,664 35,830 50,162 57,328 71,660 100,324 125,405 143,320 200,648 250,810 286,640 401,296 501,620 1,003,240 2,006,480

Collatz Trajectory (109 steps to reach 1)

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

2,006,480 1,003,240 501,620 250,810 125,405 376,216 188,108 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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