λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,008,128
2,008,128
26 × 3 × 10459
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 10459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,313,680
Proper Divisor Sum 3,305,552
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2008121 ← → #2008141

Radix Representation

Decimal 2008128
Binary 111101010010001000000 (21 bits)
Octal 0o7522100
Hexadecimal 0x1EA440

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 10,459 20,918 31,377 41,836 62,754 83,672 125,508 167,344 251,016 334,688 502,032 669,376 1,004,064 2,008,128

Collatz Trajectory (153 steps to reach 1)

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

2,008,128 1,004,064 502,032 251,016 125,508 62,754 31,377 94,132 47,066 23,533 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 #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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