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Atlas › Integer Profiles › Node 3,926,065

3,926,065

5 × 11 × 13 × 172 × 19
Deficient Odd Composite

3,926,065 factors as 5 × 11 × 13 × 17^2 × 19. Its 48 positive divisors give a proper-divisor sum of 2,263,055, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 17^2 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,189,120
Proper Divisor Sum 2,263,055
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3926047 ← → #3926089

Radix Representation

Decimal 3926065
Binary 1110111110100000110001 (22 bits)
Octal 0o16764061
Hexadecimal 0x3BE831

Divisor Catalog (48)

1 5 11 13 17 19 55 65 85 95 143 187 209 221 247 289 323 715 935 1,045 1,105 1,235 1,445 1,615 2,431 2,717 3,179 3,553 3,757 4,199 5,491 12,155 13,585 15,895 17,765 18,785 20,995 27,455 41,327 46,189 60,401 71,383 206,635 230,945 302,005 356,915 785,213 3,926,065

Collatz Trajectory (97 steps to reach 1)

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

3,926,065 11,778,196 5,889,098 2,944,549 8,833,648 4,416,824 2,208,412 1,104,206 552,103 1,656,310 828,155 2,484,466 1,242,233 3,726,700 1,863,350 931,675 2,795,026 1,397,513 4,192,540 2,096,270 1,048,135 3,144,406 1,572,203 4,716,610 2,358,305 7,074,916 3,537,458 1,768,729 5,306,188 2,653,094 1,326,547 3,979,642 1,989,821 5,969,464 2,984,732 1,492,366 746,183 2,238,550 1,119,275 3,357,826 1,678,913 5,036,740 2,518,370 1,259,185 3,777,556 1,888,778 944,389 2,833,168 1,416,584 708,292 354,146 177,073 531,220 265,610 132,805 398,416 199,208 99,604 49,802 24,901

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