λ
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Atlas › Integer Profiles › Node 41,002,476

41,002,476

22 × 3 × 131 × 26083
Abundant Even Composite

41,002,476 factors as 2^2 × 3 × 131 × 26083. Its 24 positive divisors give a proper-divisor sum of 55,403,988, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 131 × 26083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,406,464
Proper Divisor Sum 55,403,988
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41002469 ← → #41002477

Radix Representation

Decimal 41002476
Binary 10011100011010010111101100 (26 bits)
Octal 0o234322754
Hexadecimal 0x271A5EC

Divisor Catalog (24)

1 2 3 4 6 12 131 262 393 524 786 1,572 26,083 52,166 78,249 104,332 156,498 312,996 3,416,873 6,833,746 10,250,619 13,667,492 20,501,238 41,002,476

Collatz Trajectory (129 steps to reach 1)

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

41,002,476 20,501,238 10,250,619 30,751,858 15,375,929 46,127,788 23,063,894 11,531,947 34,595,842 17,297,921 51,893,764 25,946,882 12,973,441 38,920,324 19,460,162 9,730,081 29,190,244 14,595,122 7,297,561 21,892,684 10,946,342 5,473,171 16,419,514 8,209,757 24,629,272 12,314,636 6,157,318 3,078,659 9,235,978 4,617,989 13,853,968 6,926,984 3,463,492 1,731,746 865,873 2,597,620 1,298,810 649,405 1,948,216 974,108 487,054 243,527 730,582 365,291 1,095,874 547,937 1,643,812 821,906 410,953 1,232,860 616,430 308,215 924,646 462,323 1,386,970 693,485 2,080,456 1,040,228 520,114 260,057

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