λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,710,030
9,710,030
2 × 5 × 11 × 41 × 2153
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 41 × 2153
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,541,088
Proper Divisor Sum 9,831,058
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9710017 ← → #9710033

Radix Representation

Decimal 9710030
Binary 100101000010100111001110 (24 bits)
Octal 0o45024716
Hexadecimal 0x9429CE

Divisor Catalog (32)

1 2 5 10 11 22 41 55 82 110 205 410 451 902 2,153 2,255 4,306 4,510 10,765 21,530 23,683 47,366 88,273 118,415 176,546 236,830 441,365 882,730 971,003 1,942,006 4,855,015 9,710,030

Collatz Trajectory (199 steps to reach 1)

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

9,710,030 4,855,015 14,565,046 7,282,523 21,847,570 10,923,785 32,771,356 16,385,678 8,192,839 24,578,518 12,289,259 36,867,778 18,433,889 55,301,668 27,650,834 13,825,417 41,476,252 20,738,126 10,369,063 31,107,190 15,553,595 46,660,786 23,330,393 69,991,180 34,995,590 17,497,795 52,493,386 26,246,693 78,740,080 39,370,040 19,685,020 9,842,510 4,921,255 14,763,766 7,381,883 22,145,650 11,072,825 33,218,476 16,609,238 8,304,619 24,913,858 12,456,929 37,370,788 18,685,394 9,342,697 28,028,092 14,014,046 7,007,023 21,021,070 10,510,535 31,531,606 15,765,803 47,297,410 23,648,705 70,946,116 35,473,058 17,736,529 53,209,588 26,604,794 13,302,397

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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