λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,591,275
52,591,275
35 × 52 × 11 × 787
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5^2 × 11 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 106,701,504
Proper Divisor Sum 54,110,229
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52591267 ← → #52591289

Radix Representation

Decimal 52591275
Binary 11001000100111101010101011 (26 bits)
Octal 0o310475253
Hexadecimal 0x3227AAB

Divisor Catalog (60 of 72)

1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 495 675 787 825 891 1,215 1,485 2,025 2,361 2,475 2,673 3,935 4,455 6,075 7,083 7,425 8,657 11,805 13,365 19,675 21,249 22,275 25,971 35,415 43,285 59,025 63,747 66,825 77,913 106,245 129,855 177,075 191,241 216,425 233,739 318,735 389,565 531,225 649,275

Collatz Trajectory (173 steps to reach 1)

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

52,591,275 157,773,826 78,886,913 236,660,740 118,330,370 59,165,185 177,495,556 88,747,778 44,373,889 133,121,668 66,560,834 33,280,417 99,841,252 49,920,626 24,960,313 74,880,940 37,440,470 18,720,235 56,160,706 28,080,353 84,241,060 42,120,530 21,060,265 63,180,796 31,590,398 15,795,199 47,385,598 23,692,799 71,078,398 35,539,199 106,617,598 53,308,799 159,926,398 79,963,199 239,889,598 119,944,799 359,834,398 179,917,199 539,751,598 269,875,799 809,627,398 404,813,699 1,214,441,098 607,220,549 1,821,661,648 910,830,824 455,415,412 227,707,706 113,853,853 341,561,560 170,780,780 85,390,390 42,695,195 128,085,586 64,042,793 192,128,380 96,064,190 48,032,095 144,096,286 72,048,143

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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