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Atlas › Integer Profiles › Node 6,395,950

6,395,950

2 × 52 × 11 × 29 × 401
Abundant Even Composite

6,395,950 factors as 2 × 5^2 × 11 × 29 × 401. Its 48 positive divisors give a proper-divisor sum of 7,063,010, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 29 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,458,960
Proper Divisor Sum 7,063,010
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6395947 ← → #6395953

Radix Representation

Decimal 6395950
Binary 11000011001100000101110 (23 bits)
Octal 0o30314056
Hexadecimal 0x61982E

Divisor Catalog (48)

1 2 5 10 11 22 25 29 50 55 58 110 145 275 290 319 401 550 638 725 802 1,450 1,595 2,005 3,190 4,010 4,411 7,975 8,822 10,025 11,629 15,950 20,050 22,055 23,258 44,110 58,145 110,275 116,290 127,919 220,550 255,838 290,725 581,450 639,595 1,279,190 3,197,975 6,395,950

Collatz Trajectory (147 steps to reach 1)

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

6,395,950 3,197,975 9,593,926 4,796,963 14,390,890 7,195,445 21,586,336 10,793,168 5,396,584 2,698,292 1,349,146 674,573 2,023,720 1,011,860 505,930 252,965 758,896 379,448 189,724 94,862 47,431 142,294 71,147 213,442 106,721 320,164 160,082 80,041 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429

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