λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,335
41,002,335
33 × 5 × 11 × 27611
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 27611
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,522,560
Proper Divisor Sum 38,520,225
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41002303 ← → #41002363

Radix Representation

Decimal 41002335
Binary 10011100011010010101011111 (26 bits)
Octal 0o234322537
Hexadecimal 0x271A55F

Divisor Catalog (32)

1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1,485 27,611 82,833 138,055 248,499 303,721 414,165 745,497 911,163 1,242,495 1,518,605 2,733,489 3,727,485 4,555,815 8,200,467 13,667,445 41,002,335

Collatz Trajectory (266 steps to reach 1)

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

41,002,335 123,007,006 61,503,503 184,510,510 92,255,255 276,765,766 138,382,883 415,148,650 207,574,325 622,722,976 311,361,488 155,680,744 77,840,372 38,920,186 19,460,093 58,380,280 29,190,140 14,595,070 7,297,535 21,892,606 10,946,303 32,838,910 16,419,455 49,258,366 24,629,183 73,887,550 36,943,775 110,831,326 55,415,663 166,246,990 83,123,495 249,370,486 124,685,243 374,055,730 187,027,865 561,083,596 280,541,798 140,270,899 420,812,698 210,406,349 631,219,048 315,609,524 157,804,762 78,902,381 236,707,144 118,353,572 59,176,786 29,588,393 88,765,180 44,382,590 22,191,295 66,573,886 33,286,943 99,860,830 49,930,415 149,791,246 74,895,623 224,686,870 112,343,435 337,030,306

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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