λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,197,090
10,197,090
2 × 34 × 5 × 12589
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 12589
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,421,020
Proper Divisor Sum 17,223,930
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10197079 ← → #10197097

Radix Representation

Decimal 10197090
Binary 100110111001100001100010 (24 bits)
Octal 0o46714142
Hexadecimal 0x9B9862

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12,589 25,178 37,767 62,945 75,534 113,301 125,890 188,835 226,602 339,903 377,670 566,505 679,806 1,019,709 1,133,010 1,699,515 2,039,418 3,399,030 5,098,545 10,197,090

Collatz Trajectory (145 steps to reach 1)

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

10,197,090 5,098,545 15,295,636 7,647,818 3,823,909 11,471,728 5,735,864 2,867,932 1,433,966 716,983 2,150,950 1,075,475 3,226,426 1,613,213 4,839,640 2,419,820 1,209,910 604,955 1,814,866 907,433 2,722,300 1,361,150 680,575 2,041,726 1,020,863 3,062,590 1,531,295 4,593,886 2,296,943 6,890,830 3,445,415 10,336,246 5,168,123 15,504,370 7,752,185 23,256,556 11,628,278 5,814,139 17,442,418 8,721,209 26,163,628 13,081,814 6,540,907 19,622,722 9,811,361 29,434,084 14,717,042 7,358,521 22,075,564 11,037,782 5,518,891 16,556,674 8,278,337 24,835,012 12,417,506 6,208,753 18,626,260 9,313,130 4,656,565 13,969,696

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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