λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,768,135
15,768,135
33 × 5 × 271 × 431
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 271 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,200,960
Proper Divisor Sum 12,432,825
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #15768121 ← → #15768173

Radix Representation

Decimal 15768135
Binary 111100001001101001000111 (24 bits)
Octal 0o74115107
Hexadecimal 0xF09A47

Divisor Catalog (32)

1 3 5 9 15 27 45 135 271 431 813 1,293 1,355 2,155 2,439 3,879 4,065 6,465 7,317 11,637 12,195 19,395 36,585 58,185 116,801 350,403 584,005 1,051,209 1,752,015 3,153,627 5,256,045 15,768,135

Collatz Trajectory (249 steps to reach 1)

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

15,768,135 47,304,406 23,652,203 70,956,610 35,478,305 106,434,916 53,217,458 26,608,729 79,826,188 39,913,094 19,956,547 59,869,642 29,934,821 89,804,464 44,902,232 22,451,116 11,225,558 5,612,779 16,838,338 8,419,169 25,257,508 12,628,754 6,314,377 18,943,132 9,471,566 4,735,783 14,207,350 7,103,675 21,311,026 10,655,513 31,966,540 15,983,270 7,991,635 23,974,906 11,987,453 35,962,360 17,981,180 8,990,590 4,495,295 13,485,886 6,742,943 20,228,830 10,114,415 30,343,246 15,171,623 45,514,870 22,757,435 68,272,306 34,136,153 102,408,460 51,204,230 25,602,115 76,806,346 38,403,173 115,209,520 57,604,760 28,802,380 14,401,190 7,200,595 21,601,786

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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