41,003,775

3² × 5² × 182239

41,003,775 factors as 3^2 × 5^2 × 182239. Its 18 positive divisors give a proper-divisor sum of 32,438,945, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 182239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 73,442,720

Proper Divisor Sum 32,438,945

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #41003771 ← → #41003783

Radix Representation

Decimal	41003775
Binary	10011100011010101011111111 (26 bits)
Octal	0o234325377
Hexadecimal	0x271AAFF

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 182,239 546,717 911,195 1,640,151 2,733,585 4,555,975 8,200,755 13,667,925 41,003,775

Collatz Trajectory (191 steps to reach 1)

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

41,003,775 123,011,326 61,505,663 184,516,990 92,258,495 276,775,486 138,387,743 415,163,230 207,581,615 622,744,846 311,372,423 934,117,270 467,058,635 1,401,175,906 700,587,953 2,101,763,860 1,050,881,930 525,440,965 1,576,322,896 788,161,448 394,080,724 197,040,362 98,520,181 295,560,544 147,780,272 73,890,136 36,945,068 18,472,534 9,236,267 27,708,802 13,854,401 41,563,204 20,781,602 10,390,801 31,172,404 15,586,202 7,793,101 23,379,304 11,689,652 5,844,826 2,922,413 8,767,240 4,383,620 2,191,810 1,095,905 3,287,716 1,643,858 821,929 2,465,788 1,232,894 616,447 1,849,342 924,671 2,774,014 1,387,007 4,161,022 2,080,511 6,241,534 3,120,767 9,362,302

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