λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,959,486
44,959,486
2 × 112 × 13 × 31 × 461
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 13 × 31 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,583,424
Proper Divisor Sum 37,623,938
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #44959469 ← → #44959487

Radix Representation

Decimal 44959486
Binary 10101011100000011011111110 (26 bits)
Octal 0o253403376
Hexadecimal 0x2AE06FE

Divisor Catalog (48)

1 2 11 13 22 26 31 62 121 143 242 286 341 403 461 682 806 922 1,573 3,146 3,751 4,433 5,071 5,993 7,502 8,866 10,142 11,986 14,291 28,582 48,763 55,781 65,923 97,526 111,562 131,846 157,201 185,783 314,402 371,566 725,153 1,450,306 1,729,211 2,043,613 3,458,422 4,087,226 22,479,743 44,959,486

Collatz Trajectory (142 steps to reach 1)

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

44,959,486 22,479,743 67,439,230 33,719,615 101,158,846 50,579,423 151,738,270 75,869,135 227,607,406 113,803,703 341,411,110 170,705,555 512,116,666 256,058,333 768,175,000 384,087,500 192,043,750 96,021,875 288,065,626 144,032,813 432,098,440 216,049,220 108,024,610 54,012,305 162,036,916 81,018,458 40,509,229 121,527,688 60,763,844 30,381,922 15,190,961 45,572,884 22,786,442 11,393,221 34,179,664 17,089,832 8,544,916 4,272,458 2,136,229 6,408,688 3,204,344 1,602,172 801,086 400,543 1,201,630 600,815 1,802,446 901,223 2,703,670 1,351,835 4,055,506 2,027,753 6,083,260 3,041,630 1,520,815 4,562,446 2,281,223 6,843,670 3,421,835 10,265,506

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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