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Atlas › Integer Profiles › Node 41,002,842

41,002,842

2 × 3 × 151 × 167 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 151 × 167 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,349,504
Proper Divisor Sum 42,346,662
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41002837 ← → #41002849

Radix Representation

Decimal 41002842
Binary 10011100011010011101011010 (26 bits)
Octal 0o234323532
Hexadecimal 0x271A75A

Divisor Catalog (32)

1 2 3 6 151 167 271 302 334 453 501 542 813 906 1,002 1,626 25,217 40,921 45,257 50,434 75,651 81,842 90,514 122,763 135,771 151,302 245,526 271,542 6,833,807 13,667,614 20,501,421 41,002,842

Collatz Trajectory (191 steps to reach 1)

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

41,002,842 20,501,421 61,504,264 30,752,132 15,376,066 7,688,033 23,064,100 11,532,050 5,766,025 17,298,076 8,649,038 4,324,519 12,973,558 6,486,779 19,460,338 9,730,169 29,190,508 14,595,254 7,297,627 21,892,882 10,946,441 32,839,324 16,419,662 8,209,831 24,629,494 12,314,747 36,944,242 18,472,121 55,416,364 27,708,182 13,854,091 41,562,274 20,781,137 62,343,412 31,171,706 15,585,853 46,757,560 23,378,780 11,689,390 5,844,695 17,534,086 8,767,043 26,301,130 13,150,565 39,451,696 19,725,848 9,862,924 4,931,462 2,465,731 7,397,194 3,698,597 11,095,792 5,547,896 2,773,948 1,386,974 693,487 2,080,462 1,040,231 3,120,694 1,560,347

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