λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,004,100
2,004,100
22 × 52 × 72 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^2 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 5,071,290
Proper Divisor Sum 3,067,190
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #2004097 ← → #2004109

Radix Representation

Decimal 2004100
Binary 111101001010010000100 (21 bits)
Octal 0o7512204
Hexadecimal 0x1E9484

Divisor Catalog (54)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 409 490 700 818 980 1,225 1,636 2,045 2,450 2,863 4,090 4,900 5,726 8,180 10,225 11,452 14,315 20,041 20,450 28,630 40,082 40,900 57,260 71,575 80,164 100,205 143,150 200,410 286,300 400,820 501,025 1,002,050 2,004,100

Collatz Trajectory (153 steps to reach 1)

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

2,004,100 1,002,050 501,025 1,503,076 751,538 375,769 1,127,308 563,654 281,827 845,482 422,741 1,268,224 634,112 317,056 158,528 79,264 39,632 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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