λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,772,393
5,772,393
32 × 11 × 199 × 293
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 199 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,172,800
Proper Divisor Sum 3,400,407
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5772391 ← → #5772397

Radix Representation

Decimal 5772393
Binary 10110000001010001101001 (23 bits)
Octal 0o26012151
Hexadecimal 0x581469

Divisor Catalog (24)

1 3 9 11 33 99 199 293 597 879 1,791 2,189 2,637 3,223 6,567 9,669 19,701 29,007 58,307 174,921 524,763 641,377 1,924,131 5,772,393

Collatz Trajectory (183 steps to reach 1)

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

5,772,393 17,317,180 8,658,590 4,329,295 12,987,886 6,493,943 19,481,830 9,740,915 29,222,746 14,611,373 43,834,120 21,917,060 10,958,530 5,479,265 16,437,796 8,218,898 4,109,449 12,328,348 6,164,174 3,082,087 9,246,262 4,623,131 13,869,394 6,934,697 20,804,092 10,402,046 5,201,023 15,603,070 7,801,535 23,404,606 11,702,303 35,106,910 17,553,455 52,660,366 26,330,183 78,990,550 39,495,275 118,485,826 59,242,913 177,728,740 88,864,370 44,432,185 133,296,556 66,648,278 33,324,139 99,972,418 49,986,209 149,958,628 74,979,314 37,489,657 112,468,972 56,234,486 28,117,243 84,351,730 42,175,865 126,527,596 63,263,798 31,631,899 94,895,698 47,447,849

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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