λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,115,666
2,115,666
2 × 33 × 7 × 29 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 29 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,587,200
Proper Divisor Sum 3,471,534
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2115653 ← → #2115671

Radix Representation

Decimal 2115666
Binary 1000000100100001010010 (22 bits)
Octal 0o10044122
Hexadecimal 0x204852

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 193 203 261 378 386 406 522 579 609 783 1,158 1,218 1,351 1,566 1,737 1,827 2,702 3,474 3,654 4,053 5,211 5,481 5,597 8,106 10,422 10,962 11,194 12,159 16,791 24,318 33,582 36,477 39,179 50,373 72,954 78,358 100,746 117,537 151,119 235,074 302,238

Collatz Trajectory (179 steps to reach 1)

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

2,115,666 1,057,833 3,173,500 1,586,750 793,375 2,380,126 1,190,063 3,570,190 1,785,095 5,355,286 2,677,643 8,032,930 4,016,465 12,049,396 6,024,698 3,012,349 9,037,048 4,518,524 2,259,262 1,129,631 3,388,894 1,694,447 5,083,342 2,541,671 7,625,014 3,812,507 11,437,522 5,718,761 17,156,284 8,578,142 4,289,071 12,867,214 6,433,607 19,300,822 9,650,411 28,951,234 14,475,617 43,426,852 21,713,426 10,856,713 32,570,140 16,285,070 8,142,535 24,427,606 12,213,803 36,641,410 18,320,705 54,962,116 27,481,058 13,740,529 41,221,588 20,610,794 10,305,397 30,916,192 15,458,096 7,729,048 3,864,524 1,932,262 966,131 2,898,394

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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