λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,003,120
10,003,120
24 × 5 × 19 × 6581
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 19 × 6581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,485,040
Proper Divisor Sum 14,481,920
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #10003087 ← → #10003121

Radix Representation

Decimal 10003120
Binary 100110001010001010110000 (24 bits)
Octal 0o46121260
Hexadecimal 0x98A2B0

Divisor Catalog (40)

1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1,520 6,581 13,162 26,324 32,905 52,648 65,810 105,296 125,039 131,620 250,078 263,240 500,156 526,480 625,195 1,000,312 1,250,390 2,000,624 2,500,780 5,001,560 10,003,120

Collatz Trajectory (57 steps to reach 1)

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

10,003,120 5,001,560 2,500,780 1,250,390 625,195 1,875,586 937,793 2,813,380 1,406,690 703,345 2,110,036 1,055,018 527,509 1,582,528 791,264 395,632 197,816 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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