λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,118,564
27,118,564
22 × 11 × 23 × 127 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 127 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,706,176
Proper Divisor Sum 27,587,612
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27118549 ← → #27118573

Radix Representation

Decimal 27118564
Binary 1100111011100101111100100 (25 bits)
Octal 0o147345744
Hexadecimal 0x19DCBE4

Divisor Catalog (48)

1 2 4 11 22 23 44 46 92 127 211 253 254 422 506 508 844 1,012 1,397 2,321 2,794 2,921 4,642 4,853 5,588 5,842 9,284 9,706 11,684 19,412 26,797 32,131 53,383 53,594 64,262 106,766 107,188 128,524 213,532 294,767 589,534 616,331 1,179,068 1,232,662 2,465,324 6,779,641 13,559,282 27,118,564

Collatz Trajectory (299 steps to reach 1)

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

27,118,564 13,559,282 6,779,641 20,338,924 10,169,462 5,084,731 15,254,194 7,627,097 22,881,292 11,440,646 5,720,323 17,160,970 8,580,485 25,741,456 12,870,728 6,435,364 3,217,682 1,608,841 4,826,524 2,413,262 1,206,631 3,619,894 1,809,947 5,429,842 2,714,921 8,144,764 4,072,382 2,036,191 6,108,574 3,054,287 9,162,862 4,581,431 13,744,294 6,872,147 20,616,442 10,308,221 30,924,664 15,462,332 7,731,166 3,865,583 11,596,750 5,798,375 17,395,126 8,697,563 26,092,690 13,046,345 39,139,036 19,569,518 9,784,759 29,354,278 14,677,139 44,031,418 22,015,709 66,047,128 33,023,564 16,511,782 8,255,891 24,767,674 12,383,837 37,151,512

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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