λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,288
41,002,288
24 × 29 × 97 × 911
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 29 × 97 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 83,119,680
Proper Divisor Sum 42,117,392
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #41002237 ← → #41002289

Radix Representation

Decimal 41002288
Binary 10011100011010010100110000 (26 bits)
Octal 0o234322460
Hexadecimal 0x271A530

Divisor Catalog (40)

1 2 4 8 16 29 58 97 116 194 232 388 464 776 911 1,552 1,822 2,813 3,644 5,626 7,288 11,252 14,576 22,504 26,419 45,008 52,838 88,367 105,676 176,734 211,352 353,468 422,704 706,936 1,413,872 2,562,643 5,125,286 10,250,572 20,501,144 41,002,288

Collatz Trajectory (191 steps to reach 1)

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

41,002,288 20,501,144 10,250,572 5,125,286 2,562,643 7,687,930 3,843,965 11,531,896 5,765,948 2,882,974 1,441,487 4,324,462 2,162,231 6,486,694 3,243,347 9,730,042 4,865,021 14,595,064 7,297,532 3,648,766 1,824,383 5,473,150 2,736,575 8,209,726 4,104,863 12,314,590 6,157,295 18,471,886 9,235,943 27,707,830 13,853,915 41,561,746 20,780,873 62,342,620 31,171,310 15,585,655 46,756,966 23,378,483 70,135,450 35,067,725 105,203,176 52,601,588 26,300,794 13,150,397 39,451,192 19,725,596 9,862,798 4,931,399 14,794,198 7,397,099 22,191,298 11,095,649 33,286,948 16,643,474 8,321,737 24,965,212 12,482,606 6,241,303 18,723,910 9,361,955

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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