λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,047,600
4,047,600
24 × 3 × 52 × 3373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 3373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,969,656
Proper Divisor Sum 8,922,056
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4047599 ← → #4047601

Radix Representation

Decimal 4047600
Binary 1111011100001011110000 (22 bits)
Octal 0o17341360
Hexadecimal 0x3DC2F0

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 3,373 6,746 10,119 13,492 16,865 20,238 26,984 33,730 40,476 50,595 53,968 67,460 80,952 84,325 101,190 134,920 161,904 168,650 202,380 252,975 269,840 337,300 404,760 505,950 674,600 809,520 1,011,900 1,349,200 2,023,800 4,047,600

Collatz Trajectory (136 steps to reach 1)

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

4,047,600 2,023,800 1,011,900 505,950 252,975 758,926 379,463 1,138,390 569,195 1,707,586 853,793 2,561,380 1,280,690 640,345 1,921,036 960,518 480,259 1,440,778 720,389 2,161,168 1,080,584 540,292 270,146 135,073 405,220 202,610 101,305 303,916 151,958 75,979 227,938 113,969 341,908 170,954 85,477 256,432 128,216 64,108 32,054 16,027 48,082 24,041 72,124 36,062 18,031 54,094 27,047 81,142 40,571 121,714 60,857 182,572 91,286 45,643 136,930 68,465 205,396 102,698 51,349 154,048

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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