λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,055,165
2,055,165
3 × 5 × 7 × 232 × 37
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23^2 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,034,688
Proper Divisor Sum 1,979,523
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2055133 ← → #2055187

Radix Representation

Decimal 2055165
Binary 111110101101111111101 (21 bits)
Octal 0o7655775
Hexadecimal 0x1F5BFD

Divisor Catalog (48)

1 3 5 7 15 21 23 35 37 69 105 111 115 161 185 259 345 483 529 555 777 805 851 1,295 1,587 2,415 2,553 2,645 3,703 3,885 4,255 5,957 7,935 11,109 12,765 17,871 18,515 19,573 29,785 55,545 58,719 89,355 97,865 137,011 293,595 411,033 685,055 2,055,165

Collatz Trajectory (215 steps to reach 1)

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

2,055,165 6,165,496 3,082,748 1,541,374 770,687 2,312,062 1,156,031 3,468,094 1,734,047 5,202,142 2,601,071 7,803,214 3,901,607 11,704,822 5,852,411 17,557,234 8,778,617 26,335,852 13,167,926 6,583,963 19,751,890 9,875,945 29,627,836 14,813,918 7,406,959 22,220,878 11,110,439 33,331,318 16,665,659 49,996,978 24,998,489 74,995,468 37,497,734 18,748,867 56,246,602 28,123,301 84,369,904 42,184,952 21,092,476 10,546,238 5,273,119 15,819,358 7,909,679 23,729,038 11,864,519 35,593,558 17,796,779 53,390,338 26,695,169 80,085,508 40,042,754 20,021,377 60,064,132 30,032,066 15,016,033 45,048,100 22,524,050 11,262,025 33,786,076 16,893,038

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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