λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,135
36,927,135
32 × 5 × 72 × 16747
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 16747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 74,461,608
Proper Divisor Sum 37,534,473
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36927133 ← → #36927139

Radix Representation

Decimal 36927135
Binary 10001100110111011010011111 (26 bits)
Octal 0o214673237
Hexadecimal 0x233769F

Divisor Catalog (36)

1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2,205 16,747 50,241 83,735 117,229 150,723 251,205 351,687 586,145 753,615 820,603 1,055,061 1,758,435 2,461,809 4,103,015 5,275,305 7,385,427 12,309,045 36,927,135

Collatz Trajectory (364 steps to reach 1)

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

36,927,135 110,781,406 55,390,703 166,172,110 83,086,055 249,258,166 124,629,083 373,887,250 186,943,625 560,830,876 280,415,438 140,207,719 420,623,158 210,311,579 630,934,738 315,467,369 946,402,108 473,201,054 236,600,527 709,801,582 354,900,791 1,064,702,374 532,351,187 1,597,053,562 798,526,781 2,395,580,344 1,197,790,172 598,895,086 299,447,543 898,342,630 449,171,315 1,347,513,946 673,756,973 2,021,270,920 1,010,635,460 505,317,730 252,658,865 757,976,596 378,988,298 189,494,149 568,482,448 284,241,224 142,120,612 71,060,306 35,530,153 106,590,460 53,295,230 26,647,615 79,942,846 39,971,423 119,914,270 59,957,135 179,871,406 89,935,703 269,807,110 134,903,555 404,710,666 202,355,333 607,066,000 303,533,000

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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