λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,287,752
41,287,752
23 × 33 × 11 × 17377
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 17377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 125,121,600
Proper Divisor Sum 83,833,848
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41287733 ← → #41287801

Radix Representation

Decimal 41287752
Binary 10011101100000000001001000 (26 bits)
Octal 0o235400110
Hexadecimal 0x2760048

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 2,376 17,377 34,754 52,131 69,508 104,262 139,016 156,393 191,147 208,524 312,786 382,294 417,048 469,179 573,441 625,572 764,588 938,358 1,146,882 1,251,144 1,529,176 1,720,323 1,876,716 2,293,764 3,440,646 3,753,432 4,587,528 5,160,969 6,881,292

Collatz Trajectory (253 steps to reach 1)

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

41,287,752 20,643,876 10,321,938 5,160,969 15,482,908 7,741,454 3,870,727 11,612,182 5,806,091 17,418,274 8,709,137 26,127,412 13,063,706 6,531,853 19,595,560 9,797,780 4,898,890 2,449,445 7,348,336 3,674,168 1,837,084 918,542 459,271 1,377,814 688,907 2,066,722 1,033,361 3,100,084 1,550,042 775,021 2,325,064 1,162,532 581,266 290,633 871,900 435,950 217,975 653,926 326,963 980,890 490,445 1,471,336 735,668 367,834 183,917 551,752 275,876 137,938 68,969 206,908 103,454 51,727 155,182 77,591 232,774 116,387 349,162 174,581 523,744 261,872

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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