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6,891,820

22 × 5 × 132 × 2039
Abundant Even Composite

6,891,820 factors as 2^2 × 5 × 13^2 × 2039. Its 36 positive divisors give a proper-divisor sum of 8,787,620, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 2039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,679,440
Proper Divisor Sum 8,787,620
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6891793 ← → #6891823

Radix Representation

Decimal 6891820
Binary 11010010010100100101100 (23 bits)
Octal 0o32224454
Hexadecimal 0x69292C

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 2,039 3,380 4,078 8,156 10,195 20,390 26,507 40,780 53,014 106,028 132,535 265,070 344,591 530,140 689,182 1,378,364 1,722,955 3,445,910 6,891,820

Collatz Trajectory (178 steps to reach 1)

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

6,891,820 3,445,910 1,722,955 5,168,866 2,584,433 7,753,300 3,876,650 1,938,325 5,814,976 2,907,488 1,453,744 726,872 363,436 181,718 90,859 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738

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