λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,008,170
2,008,170
2 × 32 × 5 × 53 × 421
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 53 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,332,392
Proper Divisor Sum 3,324,222
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2008151 ← → #2008189

Radix Representation

Decimal 2008170
Binary 111101010010001101010 (21 bits)
Octal 0o7522152
Hexadecimal 0x1EA46A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 421 477 530 795 842 954 1,263 1,590 2,105 2,385 2,526 3,789 4,210 4,770 6,315 7,578 12,630 18,945 22,313 37,890 44,626 66,939 111,565 133,878 200,817 223,130 334,695 401,634 669,390 1,004,085 2,008,170

Collatz Trajectory (153 steps to reach 1)

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

2,008,170 1,004,085 3,012,256 1,506,128 753,064 376,532 188,266 94,133 282,400 141,200 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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