λ
Ratio Atlas
Atlas › Integer Profiles › Node 22,018,365
22,018,365
33 × 5 × 43 × 3793
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 43 × 3793
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,064,640
Proper Divisor Sum 18,046,275
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #22018363 ← → #22018369

Radix Representation

Decimal 22018365
Binary 1010011111111100100111101 (25 bits)
Octal 0o123774475
Hexadecimal 0x14FF93D

Divisor Catalog (32)

1 3 5 9 15 27 43 45 129 135 215 387 645 1,161 1,935 3,793 5,805 11,379 18,965 34,137 56,895 102,411 163,099 170,685 489,297 512,055 815,495 1,467,891 2,446,485 4,403,673 7,339,455 22,018,365

Collatz Trajectory (265 steps to reach 1)

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

22,018,365 66,055,096 33,027,548 16,513,774 8,256,887 24,770,662 12,385,331 37,155,994 18,577,997 55,733,992 27,866,996 13,933,498 6,966,749 20,900,248 10,450,124 5,225,062 2,612,531 7,837,594 3,918,797 11,756,392 5,878,196 2,939,098 1,469,549 4,408,648 2,204,324 1,102,162 551,081 1,653,244 826,622 413,311 1,239,934 619,967 1,859,902 929,951 2,789,854 1,394,927 4,184,782 2,092,391 6,277,174 3,138,587 9,415,762 4,707,881 14,123,644 7,061,822 3,530,911 10,592,734 5,296,367 15,889,102 7,944,551 23,833,654 11,916,827 35,750,482 17,875,241 53,625,724 26,812,862 13,406,431 40,219,294 20,109,647 60,328,942 30,164,471

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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