λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,878
41,002,878
2 × 3 × 7 × 17 × 57427
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 57427
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,235,584
Proper Divisor Sum 58,232,706
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41002877 ← → #41002883

Radix Representation

Decimal 41002878
Binary 10011100011010011101111110 (26 bits)
Octal 0o234323576
Hexadecimal 0x271A77E

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 57,427 114,854 172,281 344,562 401,989 803,978 976,259 1,205,967 1,952,518 2,411,934 2,928,777 5,857,554 6,833,813 13,667,626 20,501,439 41,002,878

Collatz Trajectory (129 steps to reach 1)

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

41,002,878 20,501,439 61,504,318 30,752,159 92,256,478 46,128,239 138,384,718 69,192,359 207,577,078 103,788,539 311,365,618 155,682,809 467,048,428 233,524,214 116,762,107 350,286,322 175,143,161 525,429,484 262,714,742 131,357,371 394,072,114 197,036,057 591,108,172 295,554,086 147,777,043 443,331,130 221,665,565 664,996,696 332,498,348 166,249,174 83,124,587 249,373,762 124,686,881 374,060,644 187,030,322 93,515,161 280,545,484 140,272,742 70,136,371 210,409,114 105,204,557 315,613,672 157,806,836 78,903,418 39,451,709 118,355,128 59,177,564 29,588,782 14,794,391 44,383,174 22,191,587 66,574,762 33,287,381 99,862,144 49,931,072 24,965,536 12,482,768 6,241,384 3,120,692 1,560,346

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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