λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,002,920
20,002,920
23 × 3 × 5 × 7 × 23813
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 23813
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,584,320
Proper Divisor Sum 48,581,400
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20002919 ← → #20002933

Radix Representation

Decimal 20002920
Binary 1001100010011100001101000 (25 bits)
Octal 0o114234150
Hexadecimal 0x1313868

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 23,813 47,626 71,439 95,252 119,065 142,878 166,691 190,504 238,130 285,756 333,382 357,195 476,260 500,073 571,512 666,764 714,390 833,455 952,520 1,000,146 1,333,528 1,428,780 1,666,910 2,000,292 2,500,365 2,857,560 3,333,820 4,000,584

Collatz Trajectory (177 steps to reach 1)

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

20,002,920 10,001,460 5,000,730 2,500,365 7,501,096 3,750,548 1,875,274 937,637 2,812,912 1,406,456 703,228 351,614 175,807 527,422 263,711 791,134 395,567 1,186,702 593,351 1,780,054 890,027 2,670,082 1,335,041 4,005,124 2,002,562 1,001,281 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526

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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