λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,576,898
41,576,898
2 × 3 × 11 × 491 × 1283
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 491 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,968,832
Proper Divisor Sum 49,391,934
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #41576861 ← → #41576903

Radix Representation

Decimal 41576898
Binary 10011110100110100111000010 (26 bits)
Octal 0o236464702
Hexadecimal 0x27A69C2

Divisor Catalog (32)

1 2 3 6 11 22 33 66 491 982 1,283 1,473 2,566 2,946 3,849 5,401 7,698 10,802 14,113 16,203 28,226 32,406 42,339 84,678 629,953 1,259,906 1,889,859 3,779,718 6,929,483 13,858,966 20,788,449 41,576,898

Collatz Trajectory (160 steps to reach 1)

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

41,576,898 20,788,449 62,365,348 31,182,674 15,591,337 46,774,012 23,387,006 11,693,503 35,080,510 17,540,255 52,620,766 26,310,383 78,931,150 39,465,575 118,396,726 59,198,363 177,595,090 88,797,545 266,392,636 133,196,318 66,598,159 199,794,478 99,897,239 299,691,718 149,845,859 449,537,578 224,768,789 674,306,368 337,153,184 168,576,592 84,288,296 42,144,148 21,072,074 10,536,037 31,608,112 15,804,056 7,902,028 3,951,014 1,975,507 5,926,522 2,963,261 8,889,784 4,444,892 2,222,446 1,111,223 3,333,670 1,666,835 5,000,506 2,500,253 7,500,760 3,750,380 1,875,190 937,595 2,812,786 1,406,393 4,219,180 2,109,590 1,054,795 3,164,386 1,582,193

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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