λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,009,530
41,009,530
2 × 5 × 43 × 283 × 337
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 43 × 283 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,025,664
Proper Divisor Sum 35,016,134
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #41009513 ← → #41009531

Radix Representation

Decimal 41009530
Binary 10011100011100000101111010 (26 bits)
Octal 0o234340572
Hexadecimal 0x271C17A

Divisor Catalog (32)

1 2 5 10 43 86 215 283 337 430 566 674 1,415 1,685 2,830 3,370 12,169 14,491 24,338 28,982 60,845 72,455 95,371 121,690 144,910 190,742 476,855 953,710 4,100,953 8,201,906 20,504,765 41,009,530

Collatz Trajectory (103 steps to reach 1)

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

41,009,530 20,504,765 61,514,296 30,757,148 15,378,574 7,689,287 23,067,862 11,533,931 34,601,794 17,300,897 51,902,692 25,951,346 12,975,673 38,927,020 19,463,510 9,731,755 29,195,266 14,597,633 43,792,900 21,896,450 10,948,225 32,844,676 16,422,338 8,211,169 24,633,508 12,316,754 6,158,377 18,475,132 9,237,566 4,618,783 13,856,350 6,928,175 20,784,526 10,392,263 31,176,790 15,588,395 46,765,186 23,382,593 70,147,780 35,073,890 17,536,945 52,610,836 26,305,418 13,152,709 39,458,128 19,729,064 9,864,532 4,932,266 2,466,133 7,398,400 3,699,200 1,849,600 924,800 462,400 231,200 115,600 57,800 28,900 14,450 7,225

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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