λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,011,986
2,011,986
2 × 33 × 19 × 37 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 37 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,924,800
Proper Divisor Sum 2,912,814
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2011973 ← → #2011987

Radix Representation

Decimal 2011986
Binary 111101011001101010010 (21 bits)
Octal 0o7531522
Hexadecimal 0x1EB352

Divisor Catalog (60 of 64)

1 2 3 6 9 18 19 27 37 38 53 54 57 74 106 111 114 159 171 222 318 333 342 477 513 666 703 954 999 1,007 1,026 1,406 1,431 1,961 1,998 2,014 2,109 2,862 3,021 3,922 4,218 5,883 6,042 6,327 9,063 11,766 12,654 17,649 18,126 18,981 27,189 35,298 37,259 37,962 52,947 54,378 74,518 105,894 111,777 223,554

Collatz Trajectory (140 steps to reach 1)

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

2,011,986 1,005,993 3,017,980 1,508,990 754,495 2,263,486 1,131,743 3,395,230 1,697,615 5,092,846 2,546,423 7,639,270 3,819,635 11,458,906 5,729,453 17,188,360 8,594,180 4,297,090 2,148,545 6,445,636 3,222,818 1,611,409 4,834,228 2,417,114 1,208,557 3,625,672 1,812,836 906,418 453,209 1,359,628 679,814 339,907 1,019,722 509,861 1,529,584 764,792 382,396 191,198 95,599 286,798 143,399 430,198 215,099 645,298 322,649 967,948 483,974 241,987 725,962 362,981 1,088,944 544,472 272,236 136,118 68,059 204,178 102,089 306,268 153,134 76,567

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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