λ
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41,004,162

2 × 32 × 1063 × 2143
Abundant Even Composite

41,004,162 factors as 2 × 3^2 × 1063 × 2143. Its 24 positive divisors give a proper-divisor sum of 47,963,262, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1063 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 88,967,424
Proper Divisor Sum 47,963,262
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41004157 ← → #41004181

Radix Representation

Decimal 41004162
Binary 10011100011010110010000010 (26 bits)
Octal 0o234326202
Hexadecimal 0x271AC82

Divisor Catalog (24)

1 2 3 6 9 18 1,063 2,126 2,143 3,189 4,286 6,378 6,429 9,567 12,858 19,134 19,287 38,574 2,278,009 4,556,018 6,834,027 13,668,054 20,502,081 41,004,162

Collatz Trajectory (253 steps to reach 1)

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

41,004,162 20,502,081 61,506,244 30,753,122 15,376,561 46,129,684 23,064,842 11,532,421 34,597,264 17,298,632 8,649,316 4,324,658 2,162,329 6,486,988 3,243,494 1,621,747 4,865,242 2,432,621 7,297,864 3,648,932 1,824,466 912,233 2,736,700 1,368,350 684,175 2,052,526 1,026,263 3,078,790 1,539,395 4,618,186 2,309,093 6,927,280 3,463,640 1,731,820 865,910 432,955 1,298,866 649,433 1,948,300 974,150 487,075 1,461,226 730,613 2,191,840 1,095,920 547,960 273,980 136,990 68,495 205,486 102,743 308,230 154,115 462,346 231,173 693,520 346,760 173,380 86,690 43,345

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