λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,021,200
2,021,200
24 × 52 × 31 × 163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 31 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,043,328
Proper Divisor Sum 3,022,128
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #2021197 ← → #2021203

Radix Representation

Decimal 2021200
Binary 111101101011101010000 (21 bits)
Octal 0o7553520
Hexadecimal 0x1ED750

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 163 200 248 310 326 400 496 620 652 775 815 1,240 1,304 1,550 1,630 2,480 2,608 3,100 3,260 4,075 5,053 6,200 6,520 8,150 10,106 12,400 13,040 16,300 20,212 25,265 32,600 40,424 50,530 65,200 80,848 101,060 126,325 202,120 252,650 404,240 505,300 1,010,600 2,021,200

Collatz Trajectory (197 steps to reach 1)

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

2,021,200 1,010,600 505,300 252,650 126,325 378,976 189,488 94,744 47,372 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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