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797,700

22 × 3 × 52 × 2659
Abundant Even Composite

797,700 factors as 2^2 × 3 × 5^2 × 2659. Its 36 positive divisors give a proper-divisor sum of 1,511,180, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,308,880
Proper Divisor Sum 1,511,180
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #797689 ← → #797701

Radix Representation

Decimal 797700
Binary 11000010110000000100 (20 bits)
Octal 0o3026004
Hexadecimal 0xC2C04

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2,659 5,318 7,977 10,636 13,295 15,954 26,590 31,908 39,885 53,180 66,475 79,770 132,950 159,540 199,425 265,900 398,850 797,700

Collatz Trajectory (100 steps to reach 1)

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

797,700 398,850 199,425 598,276 299,138 149,569 448,708 224,354 112,177 336,532 168,266 84,133 252,400 126,200 63,100 31,550 15,775 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062

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