λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,009,532
41,009,532
22 × 3 × 79 × 181 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 79 × 181 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,843,200
Proper Divisor Sum 56,833,668
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41009531 ← → #41009533

Radix Representation

Decimal 41009532
Binary 10011100011100000101111100 (26 bits)
Octal 0o234340574
Hexadecimal 0x271C17C

Divisor Catalog (48)

1 2 3 4 6 12 79 158 181 237 239 316 362 474 478 543 717 724 948 956 1,086 1,434 2,172 2,868 14,299 18,881 28,598 37,762 42,897 43,259 56,643 57,196 75,524 85,794 86,518 113,286 129,777 171,588 173,036 226,572 259,554 519,108 3,417,461 6,834,922 10,252,383 13,669,844 20,504,766 41,009,532

Collatz Trajectory (103 steps to reach 1)

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

41,009,532 20,504,766 10,252,383 30,757,150 15,378,575 46,135,726 23,067,863 69,203,590 34,601,795 103,805,386 51,902,693 155,708,080 77,854,040 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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