λ
Matchaa Zalai

1,595,244

22 × 3 × 72 × 2713
Abundant Even Composite

1,595,244 factors as 2^2 × 3 × 7^2 × 2713. Its 36 positive divisors give a proper-divisor sum of 2,736,300, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,331,544
Proper Divisor Sum 2,736,300
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1595239 ← → #1595267

Radix Representation

Decimal 1595244
Binary 110000101011101101100 (21 bits)
Octal 0o6053554
Hexadecimal 0x18576C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2,713 5,426 8,139 10,852 16,278 18,991 32,556 37,982 56,973 75,964 113,946 132,937 227,892 265,874 398,811 531,748 797,622 1,595,244

Collatz Trajectory (194 steps to reach 1)

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

1,595,244 797,622 398,811 1,196,434 598,217 1,794,652 897,326 448,663 1,345,990 672,995 2,018,986 1,009,493 3,028,480 1,514,240 757,120 378,560 189,280 94,640 47,320 23,660 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336

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