λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,809,965
2,809,965
3 × 5 × 37 × 61 × 83
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 37 × 61 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,749,696
Proper Divisor Sum 1,939,731
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2809931 ← → #2809973

Radix Representation

Decimal 2809965
Binary 1010101110000001101101 (22 bits)
Octal 0o12560155
Hexadecimal 0x2AE06D

Divisor Catalog (32)

1 3 5 15 37 61 83 111 183 185 249 305 415 555 915 1,245 2,257 3,071 5,063 6,771 9,213 11,285 15,189 15,355 25,315 33,855 46,065 75,945 187,331 561,993 936,655 2,809,965

Collatz Trajectory (138 steps to reach 1)

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

2,809,965 8,429,896 4,214,948 2,107,474 1,053,737 3,161,212 1,580,606 790,303 2,370,910 1,185,455 3,556,366 1,778,183 5,334,550 2,667,275 8,001,826 4,000,913 12,002,740 6,001,370 3,000,685 9,002,056 4,501,028 2,250,514 1,125,257 3,375,772 1,687,886 843,943 2,531,830 1,265,915 3,797,746 1,898,873 5,696,620 2,848,310 1,424,155 4,272,466 2,136,233 6,408,700 3,204,350 1,602,175 4,806,526 2,403,263 7,209,790 3,604,895 10,814,686 5,407,343 16,222,030 8,111,015 24,333,046 12,166,523 36,499,570 18,249,785 54,749,356 27,374,678 13,687,339 41,062,018 20,531,009 61,593,028 30,796,514 15,398,257 46,194,772 23,097,386

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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