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Atlas › Integer Profiles › Node 41,002,470

41,002,470

2 × 33 × 5 × 17 × 8933
Abundant Even Composite

41,002,470 factors as 2 × 3^3 × 5 × 17 × 8933. Its 64 positive divisors give a proper-divisor sum of 74,782,170, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 17 × 8933
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 115,784,640
Proper Divisor Sum 74,782,170
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41002469 ← → #41002477

Radix Representation

Decimal 41002470
Binary 10011100011010010111100110 (26 bits)
Octal 0o234322746
Hexadecimal 0x271A5E6

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1,530 2,295 4,590 8,933 17,866 26,799 44,665 53,598 80,397 89,330 133,995 151,861 160,794 241,191 267,990 303,722 401,985 455,583 482,382 759,305 803,970 911,166 1,205,955 1,366,749 1,518,610 2,277,915 2,411,910 2,733,498 4,100,247 4,555,830 6,833,745

Collatz Trajectory (222 steps to reach 1)

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

41,002,470 20,501,235 61,503,706 30,751,853 92,255,560 46,127,780 23,063,890 11,531,945 34,595,836 17,297,918 8,648,959 25,946,878 12,973,439 38,920,318 19,460,159 58,380,478 29,190,239 87,570,718 43,785,359 131,356,078 65,678,039 197,034,118 98,517,059 295,551,178 147,775,589 443,326,768 221,663,384 110,831,692 55,415,846 27,707,923 83,123,770 41,561,885 124,685,656 62,342,828 31,171,414 15,585,707 46,757,122 23,378,561 70,135,684 35,067,842 17,533,921 52,601,764 26,300,882 13,150,441 39,451,324 19,725,662 9,862,831 29,588,494 14,794,247 44,382,742 22,191,371 66,574,114 33,287,057 99,861,172 49,930,586 24,965,293 74,895,880 37,447,940 18,723,970 9,361,985

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