λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,022,720
2,022,720
26 × 3 × 5 × 72 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7^2 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 7,644,384
Proper Divisor Sum 5,621,664
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2022707 ← → #2022731

Radix Representation

Decimal 2022720
Binary 111101101110101000000 (21 bits)
Octal 0o7556500
Hexadecimal 0x1EDD40

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 43 48 49 56 60 64 70 80 84 86 96 98 105 112 120 129 140 147 160 168 172 192 196 210 215 224 240 245 258 280 294 301 320 336 344 392 420 430

Collatz Trajectory (47 steps to reach 1)

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

2,022,720 1,011,360 505,680 252,840 126,420 63,210 31,605 94,816 47,408 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 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 #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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