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Ratio Atlas
Atlas › Integer Profiles › Node 10,085,998
10,085,998
2 × 13 × 17 × 19 × 1201
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 19 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,174,240
Proper Divisor Sum 8,088,242
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #10085993 ← → #10086001

Radix Representation

Decimal 10085998
Binary 100110011110011001101110 (24 bits)
Octal 0o46363156
Hexadecimal 0x99E66E

Divisor Catalog (32)

1 2 13 17 19 26 34 38 221 247 323 442 494 646 1,201 2,402 4,199 8,398 15,613 20,417 22,819 31,226 40,834 45,638 265,421 296,647 387,923 530,842 593,294 775,846 5,042,999 10,085,998

Collatz Trajectory (344 steps to reach 1)

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

10,085,998 5,042,999 15,128,998 7,564,499 22,693,498 11,346,749 34,040,248 17,020,124 8,510,062 4,255,031 12,765,094 6,382,547 19,147,642 9,573,821 28,721,464 14,360,732 7,180,366 3,590,183 10,770,550 5,385,275 16,155,826 8,077,913 24,233,740 12,116,870 6,058,435 18,175,306 9,087,653 27,262,960 13,631,480 6,815,740 3,407,870 1,703,935 5,111,806 2,555,903 7,667,710 3,833,855 11,501,566 5,750,783 17,252,350 8,626,175 25,878,526 12,939,263 38,817,790 19,408,895 58,226,686 29,113,343 87,340,030 43,670,015 131,010,046 65,505,023 196,515,070 98,257,535 294,772,606 147,386,303 442,158,910 221,079,455 663,238,366 331,619,183 994,857,550 497,428,775

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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