λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,100
3,000,100
22 × 52 × 19 × 1579
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,857,200
Proper Divisor Sum 3,857,100
Digit Sum / Digital Root 4 (Root: 4)
Adjacent Primes #3000089 ← → #3000103

Radix Representation

Decimal 3000100
Binary 1011011100011100100100 (22 bits)
Octal 0o13343444
Hexadecimal 0x2DC724

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,579 1,900 3,158 6,316 7,895 15,790 30,001 31,580 39,475 60,002 78,950 120,004 150,005 157,900 300,010 600,020 750,025 1,500,050 3,000,100

Collatz Trajectory (151 steps to reach 1)

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

3,000,100 1,500,050 750,025 2,250,076 1,125,038 562,519 1,687,558 843,779 2,531,338 1,265,669 3,797,008 1,898,504 949,252 474,626 237,313 711,940 355,970 177,985 533,956 266,978 133,489 400,468 200,234 100,117 300,352 150,176 75,088 37,544 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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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