λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,852,990
9,852,990
2 × 3 × 5 × 7 × 46919
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 46919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,025,920
Proper Divisor Sum 17,172,930
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9852967 ← → #9852991

Radix Representation

Decimal 9852990
Binary 100101100101100000111110 (24 bits)
Octal 0o45454076
Hexadecimal 0x96583E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 46,919 93,838 140,757 234,595 281,514 328,433 469,190 656,866 703,785 985,299 1,407,570 1,642,165 1,970,598 3,284,330 4,926,495 9,852,990

Collatz Trajectory (251 steps to reach 1)

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

9,852,990 4,926,495 14,779,486 7,389,743 22,169,230 11,084,615 33,253,846 16,626,923 49,880,770 24,940,385 74,821,156 37,410,578 18,705,289 56,115,868 28,057,934 14,028,967 42,086,902 21,043,451 63,130,354 31,565,177 94,695,532 47,347,766 23,673,883 71,021,650 35,510,825 106,532,476 53,266,238 26,633,119 79,899,358 39,949,679 119,849,038 59,924,519 179,773,558 89,886,779 269,660,338 134,830,169 404,490,508 202,245,254 101,122,627 303,367,882 151,683,941 455,051,824 227,525,912 113,762,956 56,881,478 28,440,739 85,322,218 42,661,109 127,983,328 63,991,664 31,995,832 15,997,916 7,998,958 3,999,479 11,998,438 5,999,219 17,997,658 8,998,829 26,996,488 13,498,244

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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