λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,009,700
41,009,700
22 × 3 × 52 × 223 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 223 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 119,381,248
Proper Divisor Sum 78,371,548
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41009699 ← → #41009701

Radix Representation

Decimal 41009700
Binary 10011100011100001000100100 (26 bits)
Octal 0o234341044
Hexadecimal 0x271C224

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 613 669 892 1,115 1,226 1,338 1,839 2,230 2,452 2,676 3,065 3,345 3,678 4,460 5,575 6,130 6,690 7,356 9,195 11,150 12,260 13,380 15,325 16,725 18,390 22,300 30,650 33,450 36,780 45,975 61,300 66,900 91,950 136,699 183,900 273,398 410,097 546,796 683,495 820,194

Collatz Trajectory (222 steps to reach 1)

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

41,009,700 20,504,850 10,252,425 30,757,276 15,378,638 7,689,319 23,067,958 11,533,979 34,601,938 17,300,969 51,902,908 25,951,454 12,975,727 38,927,182 19,463,591 58,390,774 29,195,387 87,586,162 43,793,081 131,379,244 65,689,622 32,844,811 98,534,434 49,267,217 147,801,652 73,900,826 36,950,413 110,851,240 55,425,620 27,712,810 13,856,405 41,569,216 20,784,608 10,392,304 5,196,152 2,598,076 1,299,038 649,519 1,948,558 974,279 2,922,838 1,461,419 4,384,258 2,192,129 6,576,388 3,288,194 1,644,097 4,932,292 2,466,146 1,233,073 3,699,220 1,849,610 924,805 2,774,416 1,387,208 693,604 346,802 173,401 520,204 260,102

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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