λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,012,340
2,012,340
22 × 3 × 5 × 11 × 3049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 3049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,148,800
Proper Divisor Sum 4,136,460
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2012333 ← → #2012363

Radix Representation

Decimal 2012340
Binary 111101011010010110100 (21 bits)
Octal 0o7532264
Hexadecimal 0x1EB4B4

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3,049 6,098 9,147 12,196 15,245 18,294 30,490 33,539 36,588 45,735 60,980 67,078 91,470 100,617 134,156 167,695 182,940 201,234 335,390 402,468 503,085 670,780 1,006,170 2,012,340

Collatz Trajectory (91 steps to reach 1)

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

2,012,340 1,006,170 503,085 1,509,256 754,628 377,314 188,657 565,972 282,986 141,493 424,480 212,240 106,120 53,060 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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