λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,028,110
9,028,110
2 × 3 × 5 × 7 × 13 × 3307
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 13 × 3307
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,675,712
Proper Divisor Sum 17,647,602
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9028109 ← → #9028141

Radix Representation

Decimal 9028110
Binary 100010011100001000001110 (24 bits)
Octal 0o42341016
Hexadecimal 0x89C20E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1,365 2,730 3,307 6,614 9,921 16,535 19,842 23,149 33,070 42,991 46,298 49,605 69,447 85,982 99,210 115,745 128,973 138,894 214,955 231,490 257,946 300,937 347,235 429,910 601,874 644,865 694,470 902,811 1,289,730 1,504,685

Collatz Trajectory (225 steps to reach 1)

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

9,028,110 4,514,055 13,542,166 6,771,083 20,313,250 10,156,625 30,469,876 15,234,938 7,617,469 22,852,408 11,426,204 5,713,102 2,856,551 8,569,654 4,284,827 12,854,482 6,427,241 19,281,724 9,640,862 4,820,431 14,461,294 7,230,647 21,691,942 10,845,971 32,537,914 16,268,957 48,806,872 24,403,436 12,201,718 6,100,859 18,302,578 9,151,289 27,453,868 13,726,934 6,863,467 20,590,402 10,295,201 30,885,604 15,442,802 7,721,401 23,164,204 11,582,102 5,791,051 17,373,154 8,686,577 26,059,732 13,029,866 6,514,933 19,544,800 9,772,400 4,886,200 2,443,100 1,221,550 610,775 1,832,326 916,163 2,748,490 1,374,245 4,122,736 2,061,368

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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