λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,059,615
4,059,615
3 × 5 × 7 × 23 × 412
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23 × 41^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,939,584
Proper Divisor Sum 3,879,969
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4059599 ← → #4059619

Radix Representation

Decimal 4059615
Binary 1111011111000111011111 (22 bits)
Octal 0o17370737
Hexadecimal 0x3DF1DF

Divisor Catalog (48)

1 3 5 7 15 21 23 35 41 69 105 115 123 161 205 287 345 483 615 805 861 943 1,435 1,681 2,415 2,829 4,305 4,715 5,043 6,601 8,405 11,767 14,145 19,803 25,215 33,005 35,301 38,663 58,835 99,015 115,989 176,505 193,315 270,641 579,945 811,923 1,353,205 4,059,615

Collatz Trajectory (291 steps to reach 1)

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

4,059,615 12,178,846 6,089,423 18,268,270 9,134,135 27,402,406 13,701,203 41,103,610 20,551,805 61,655,416 30,827,708 15,413,854 7,706,927 23,120,782 11,560,391 34,681,174 17,340,587 52,021,762 26,010,881 78,032,644 39,016,322 19,508,161 58,524,484 29,262,242 14,631,121 43,893,364 21,946,682 10,973,341 32,920,024 16,460,012 8,230,006 4,115,003 12,345,010 6,172,505 18,517,516 9,258,758 4,629,379 13,888,138 6,944,069 20,832,208 10,416,104 5,208,052 2,604,026 1,302,013 3,906,040 1,953,020 976,510 488,255 1,464,766 732,383 2,197,150 1,098,575 3,295,726 1,647,863 4,943,590 2,471,795 7,415,386 3,707,693 11,123,080 5,561,540

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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