λ
Ratio Atlas
Atlas › Integer Profiles › Node 22,200,093
22,200,093
32 × 83 × 113 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 83 × 113 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,864,832
Proper Divisor Sum 10,664,739
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #22200077 ← → #22200119

Radix Representation

Decimal 22200093
Binary 1010100101011111100011101 (25 bits)
Octal 0o124537435
Hexadecimal 0x152BF1D

Divisor Catalog (24)

1 3 9 83 113 249 263 339 747 789 1,017 2,367 9,379 21,829 28,137 29,719 65,487 84,411 89,157 196,461 267,471 2,466,677 7,400,031 22,200,093

Collatz Trajectory (216 steps to reach 1)

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

22,200,093 66,600,280 33,300,140 16,650,070 8,325,035 24,975,106 12,487,553 37,462,660 18,731,330 9,365,665 28,096,996 14,048,498 7,024,249 21,072,748 10,536,374 5,268,187 15,804,562 7,902,281 23,706,844 11,853,422 5,926,711 17,780,134 8,890,067 26,670,202 13,335,101 40,005,304 20,002,652 10,001,326 5,000,663 15,001,990 7,500,995 22,502,986 11,251,493 33,754,480 16,877,240 8,438,620 4,219,310 2,109,655 6,328,966 3,164,483 9,493,450 4,746,725 14,240,176 7,120,088 3,560,044 1,780,022 890,011 2,670,034 1,335,017 4,005,052 2,002,526 1,001,263 3,003,790 1,501,895 4,505,686 2,252,843 6,758,530 3,379,265 10,137,796 5,068,898

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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