λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,016,014
2,016,014
2 × 7 × 11 × 13 × 19 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 19 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,354,560
Proper Divisor Sum 2,338,546
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2015999 ← → #2016017

Radix Representation

Decimal 2016014
Binary 111101100001100001110 (21 bits)
Octal 0o7541416
Hexadecimal 0x1EC30E

Divisor Catalog (60 of 64)

1 2 7 11 13 14 19 22 26 38 53 77 91 106 133 143 154 182 209 247 266 286 371 418 494 583 689 742 1,001 1,007 1,166 1,378 1,463 1,729 2,002 2,014 2,717 2,926 3,458 4,081 4,823 5,434 7,049 7,579 8,162 9,646 11,077 13,091 14,098 15,158 19,019 22,154 26,182 38,038 53,053 77,539 91,637 106,106 144,001 155,078

Collatz Trajectory (91 steps to reach 1)

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

2,016,014 1,008,007 3,024,022 1,512,011 4,536,034 2,268,017 6,804,052 3,402,026 1,701,013 5,103,040 2,551,520 1,275,760 637,880 318,940 159,470 79,735 239,206 119,603 358,810 179,405 538,216 269,108 134,554 67,277 201,832 100,916 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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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