λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,100,404
39,100,404
22 × 3 × 7 × 19 × 24499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19 × 24499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 109,760,000
Proper Divisor Sum 70,659,596
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #39100403 ← → #39100417

Radix Representation

Decimal 39100404
Binary 10010101001001111111110100 (26 bits)
Octal 0o225117764
Hexadecimal 0x2549FF4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1,596 24,499 48,998 73,497 97,996 146,994 171,493 293,988 342,986 465,481 514,479 685,972 930,962 1,028,958 1,396,443 1,861,924 2,057,916 2,792,886 3,258,367 5,585,772 6,516,734 9,775,101 13,033,468 19,550,202 39,100,404

Collatz Trajectory (315 steps to reach 1)

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

39,100,404 19,550,202 9,775,101 29,325,304 14,662,652 7,331,326 3,665,663 10,996,990 5,498,495 16,495,486 8,247,743 24,743,230 12,371,615 37,114,846 18,557,423 55,672,270 27,836,135 83,508,406 41,754,203 125,262,610 62,631,305 187,893,916 93,946,958 46,973,479 140,920,438 70,460,219 211,380,658 105,690,329 317,070,988 158,535,494 79,267,747 237,803,242 118,901,621 356,704,864 178,352,432 89,176,216 44,588,108 22,294,054 11,147,027 33,441,082 16,720,541 50,161,624 25,080,812 12,540,406 6,270,203 18,810,610 9,405,305 28,215,916 14,107,958 7,053,979 21,161,938 10,580,969 31,742,908 15,871,454 7,935,727 23,807,182 11,903,591 35,710,774 17,855,387 53,566,162

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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