λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,817,330
41,817,330
2 × 33 × 5 × 61 × 2539
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 61 × 2539
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 113,385,600
Proper Divisor Sum 71,568,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41817329 ← → #41817341

Radix Representation

Decimal 41817330
Binary 10011111100001010011110010 (26 bits)
Octal 0o237412362
Hexadecimal 0x27E14F2

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1,098 1,647 1,830 2,539 2,745 3,294 5,078 5,490 7,617 8,235 12,695 15,234 16,470 22,851 25,390 38,085 45,702 68,553 76,170 114,255 137,106 154,879 228,510 309,758 342,765 464,637 685,530 774,395 929,274 1,393,911 1,548,790 2,323,185 2,787,822 4,181,733 4,646,370 6,969,555

Collatz Trajectory (178 steps to reach 1)

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

41,817,330 20,908,665 62,725,996 31,362,998 15,681,499 47,044,498 23,522,249 70,566,748 35,283,374 17,641,687 52,925,062 26,462,531 79,387,594 39,693,797 119,081,392 59,540,696 29,770,348 14,885,174 7,442,587 22,327,762 11,163,881 33,491,644 16,745,822 8,372,911 25,118,734 12,559,367 37,678,102 18,839,051 56,517,154 28,258,577 84,775,732 42,387,866 21,193,933 63,581,800 31,790,900 15,895,450 7,947,725 23,843,176 11,921,588 5,960,794 2,980,397 8,941,192 4,470,596 2,235,298 1,117,649 3,352,948 1,676,474 838,237 2,514,712 1,257,356 628,678 314,339 943,018 471,509 1,414,528 707,264 353,632 176,816 88,408 44,204

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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