λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,115,686
3,115,686
2 × 3 × 7 × 31 × 2393
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 2393
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,354,368
Proper Divisor Sum 4,238,682
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3115667 ← → #3115727

Radix Representation

Decimal 3115686
Binary 1011111000101010100110 (22 bits)
Octal 0o13705246
Hexadecimal 0x2F8AA6

Divisor Catalog (32)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1,302 2,393 4,786 7,179 14,358 16,751 33,502 50,253 74,183 100,506 148,366 222,549 445,098 519,281 1,038,562 1,557,843 3,115,686

Collatz Trajectory (182 steps to reach 1)

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

3,115,686 1,557,843 4,673,530 2,336,765 7,010,296 3,505,148 1,752,574 876,287 2,628,862 1,314,431 3,943,294 1,971,647 5,914,942 2,957,471 8,872,414 4,436,207 13,308,622 6,654,311 19,962,934 9,981,467 29,944,402 14,972,201 44,916,604 22,458,302 11,229,151 33,687,454 16,843,727 50,531,182 25,265,591 75,796,774 37,898,387 113,695,162 56,847,581 170,542,744 85,271,372 42,635,686 21,317,843 63,953,530 31,976,765 95,930,296 47,965,148 23,982,574 11,991,287 35,973,862 17,986,931 53,960,794 26,980,397 80,941,192 40,470,596 20,235,298 10,117,649 30,352,948 15,176,474 7,588,237 22,764,712 11,382,356 5,691,178 2,845,589 8,536,768 4,268,384

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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