λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,306,090
9,306,090
2 × 34 × 5 × 11489
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 11489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,025,220
Proper Divisor Sum 15,719,130
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9306079 ← → #9306097

Radix Representation

Decimal 9306090
Binary 100011011111111111101010 (24 bits)
Octal 0o43377752
Hexadecimal 0x8DFFEA

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 11,489 22,978 34,467 57,445 68,934 103,401 114,890 172,335 206,802 310,203 344,670 517,005 620,406 930,609 1,034,010 1,551,015 1,861,218 3,102,030 4,653,045 9,306,090

Collatz Trajectory (300 steps to reach 1)

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

9,306,090 4,653,045 13,959,136 6,979,568 3,489,784 1,744,892 872,446 436,223 1,308,670 654,335 1,963,006 981,503 2,944,510 1,472,255 4,416,766 2,208,383 6,625,150 3,312,575 9,937,726 4,968,863 14,906,590 7,453,295 22,359,886 11,179,943 33,539,830 16,769,915 50,309,746 25,154,873 75,464,620 37,732,310 18,866,155 56,598,466 28,299,233 84,897,700 42,448,850 21,224,425 63,673,276 31,836,638 15,918,319 47,754,958 23,877,479 71,632,438 35,816,219 107,448,658 53,724,329 161,172,988 80,586,494 40,293,247 120,879,742 60,439,871 181,319,614 90,659,807 271,979,422 135,989,711 407,969,134 203,984,567 611,953,702 305,976,851 917,930,554 458,965,277

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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