λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,410
9,107,410
2 × 5 × 132 × 17 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 17 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,854,856
Proper Divisor Sum 9,747,446
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9107401 ← → #9107411

Radix Representation

Decimal 9107410
Binary 100010101111011111010010 (24 bits)
Octal 0o42573722
Hexadecimal 0x8AF7D2

Divisor Catalog (48)

1 2 5 10 13 17 26 34 65 85 130 169 170 221 317 338 442 634 845 1,105 1,585 1,690 2,210 2,873 3,170 4,121 5,389 5,746 8,242 10,778 14,365 20,605 26,945 28,730 41,210 53,573 53,890 70,057 107,146 140,114 267,865 350,285 535,730 700,570 910,741 1,821,482 4,553,705 9,107,410

Collatz Trajectory (256 steps to reach 1)

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

9,107,410 4,553,705 13,661,116 6,830,558 3,415,279 10,245,838 5,122,919 15,368,758 7,684,379 23,053,138 11,526,569 34,579,708 17,289,854 8,644,927 25,934,782 12,967,391 38,902,174 19,451,087 58,353,262 29,176,631 87,529,894 43,764,947 131,294,842 65,647,421 196,942,264 98,471,132 49,235,566 24,617,783 73,853,350 36,926,675 110,780,026 55,390,013 166,170,040 83,085,020 41,542,510 20,771,255 62,313,766 31,156,883 93,470,650 46,735,325 140,205,976 70,102,988 35,051,494 17,525,747 52,577,242 26,288,621 78,865,864 39,432,932 19,716,466 9,858,233 29,574,700 14,787,350 7,393,675 22,181,026 11,090,513 33,271,540 16,635,770 8,317,885 24,953,656 12,476,828

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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