λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,574
4,100,574
2 × 3 × 41 × 79 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 41 × 79 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,547,840
Proper Divisor Sum 4,447,266
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4100573 ← → #4100581

Radix Representation

Decimal 4100574
Binary 1111101001000111011110 (22 bits)
Octal 0o17510736
Hexadecimal 0x3E91DE

Divisor Catalog (32)

1 2 3 6 41 79 82 123 158 211 237 246 422 474 633 1,266 3,239 6,478 8,651 9,717 16,669 17,302 19,434 25,953 33,338 50,007 51,906 100,014 683,429 1,366,858 2,050,287 4,100,574

Collatz Trajectory (190 steps to reach 1)

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

4,100,574 2,050,287 6,150,862 3,075,431 9,226,294 4,613,147 13,839,442 6,919,721 20,759,164 10,379,582 5,189,791 15,569,374 7,784,687 23,354,062 11,677,031 35,031,094 17,515,547 52,546,642 26,273,321 78,819,964 39,409,982 19,704,991 59,114,974 29,557,487 88,672,462 44,336,231 133,008,694 66,504,347 199,513,042 99,756,521 299,269,564 149,634,782 74,817,391 224,452,174 112,226,087 336,678,262 168,339,131 505,017,394 252,508,697 757,526,092 378,763,046 189,381,523 568,144,570 284,072,285 852,216,856 426,108,428 213,054,214 106,527,107 319,581,322 159,790,661 479,371,984 239,685,992 119,842,996 59,921,498 29,960,749 89,882,248 44,941,124 22,470,562 11,235,281 33,705,844

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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