λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,823,926
9,823,926
2 × 3 × 7 × 17 × 13759
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 13759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,777,280
Proper Divisor Sum 13,953,354
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9823903 ← → #9823927

Radix Representation

Decimal 9823926
Binary 100101011110011010110110 (24 bits)
Octal 0o45363266
Hexadecimal 0x95E6B6

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 13,759 27,518 41,277 82,554 96,313 192,626 233,903 288,939 467,806 577,878 701,709 1,403,418 1,637,321 3,274,642 4,911,963 9,823,926

Collatz Trajectory (282 steps to reach 1)

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

9,823,926 4,911,963 14,735,890 7,367,945 22,103,836 11,051,918 5,525,959 16,577,878 8,288,939 24,866,818 12,433,409 37,300,228 18,650,114 9,325,057 27,975,172 13,987,586 6,993,793 20,981,380 10,490,690 5,245,345 15,736,036 7,868,018 3,934,009 11,802,028 5,901,014 2,950,507 8,851,522 4,425,761 13,277,284 6,638,642 3,319,321 9,957,964 4,978,982 2,489,491 7,468,474 3,734,237 11,202,712 5,601,356 2,800,678 1,400,339 4,201,018 2,100,509 6,301,528 3,150,764 1,575,382 787,691 2,363,074 1,181,537 3,544,612 1,772,306 886,153 2,658,460 1,329,230 664,615 1,993,846 996,923 2,990,770 1,495,385 4,486,156 2,243,078

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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