λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,599,401
44,599,401
32 × 7 × 11 × 139 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 139 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,070,080
Proper Divisor Sum 36,470,679
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44599367 ← → #44599409

Radix Representation

Decimal 44599401
Binary 10101010001000100001101001 (26 bits)
Octal 0o252104151
Hexadecimal 0x2A88869

Divisor Catalog (48)

1 3 7 9 11 21 33 63 77 99 139 231 417 463 693 973 1,251 1,389 1,529 2,919 3,241 4,167 4,587 5,093 8,757 9,723 10,703 13,761 15,279 29,169 32,109 35,651 45,837 64,357 96,327 106,953 193,071 320,859 450,499 579,213 707,927 1,351,497 2,123,781 4,054,491 4,955,489 6,371,343 14,866,467 44,599,401

Collatz Trajectory (160 steps to reach 1)

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

44,599,401 133,798,204 66,899,102 33,449,551 100,348,654 50,174,327 150,522,982 75,261,491 225,784,474 112,892,237 338,676,712 169,338,356 84,669,178 42,334,589 127,003,768 63,501,884 31,750,942 15,875,471 47,626,414 23,813,207 71,439,622 35,719,811 107,159,434 53,579,717 160,739,152 80,369,576 40,184,788 20,092,394 10,046,197 30,138,592 15,069,296 7,534,648 3,767,324 1,883,662 941,831 2,825,494 1,412,747 4,238,242 2,119,121 6,357,364 3,178,682 1,589,341 4,768,024 2,384,012 1,192,006 596,003 1,788,010 894,005 2,682,016 1,341,008 670,504 335,252 167,626 83,813 251,440 125,720 62,860 31,430 15,715 47,146

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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