λ
Ratio Atlas

41,005,422

2 × 32 × 2278079
Abundant Even Composite

41,005,422 factors as 2 × 3^2 × 2278079. Its 12 positive divisors give a proper-divisor sum of 47,839,698, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 2278079
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 88,845,120
Proper Divisor Sum 47,839,698
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41005399 ← → #41005423

Radix Representation

Decimal 41005422
Binary 10011100011011000101101110 (26 bits)
Octal 0o234330556
Hexadecimal 0x271B16E

Divisor Catalog (12)

Collatz Trajectory (147 steps to reach 1)

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

41,005,422 20,502,711 61,508,134 30,754,067 92,262,202 46,131,101 138,393,304 69,196,652 34,598,326 17,299,163 51,897,490 25,948,745 77,846,236 38,923,118 19,461,559 58,384,678 29,192,339 87,577,018 43,788,509 131,365,528 65,682,764 32,841,382 16,420,691 49,262,074 24,631,037 73,893,112 36,946,556 18,473,278 9,236,639 27,709,918 13,854,959 41,564,878 20,782,439 62,347,318 31,173,659 93,520,978 46,760,489 140,281,468 70,140,734 35,070,367 105,211,102 52,605,551 157,816,654 78,908,327 236,724,982 118,362,491 355,087,474 177,543,737 532,631,212 266,315,606 133,157,803 399,473,410 199,736,705 599,210,116 299,605,058 149,802,529 449,407,588 224,703,794 112,351,897 337,055,692

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