686,142

2 × 3² × 38119

686,142 factors as 2 × 3^2 × 38119. Its 12 positive divisors give a proper-divisor sum of 800,538, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 38119

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,486,680

Proper Divisor Sum 800,538

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #686141 ← → #686143

Radix Representation

Decimal	686142
Binary	10100111100000111110 (20 bits)
Octal	0o2474076
Hexadecimal	0xA783E

Divisor Catalog (12)

1 2 3 6 9 18 38,119 76,238 114,357 228,714 343,071 686,142

Collatz Trajectory (167 steps to reach 1)

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

686,142 343,071 1,029,214 514,607 1,543,822 771,911 2,315,734 1,157,867 3,473,602 1,736,801 5,210,404 2,605,202 1,302,601 3,907,804 1,953,902 976,951 2,930,854 1,465,427 4,396,282 2,198,141 6,594,424 3,297,212 1,648,606 824,303 2,472,910 1,236,455 3,709,366 1,854,683 5,564,050 2,782,025 8,346,076 4,173,038 2,086,519 6,259,558 3,129,779 9,389,338 4,694,669 14,084,008 7,042,004 3,521,002 1,760,501 5,281,504 2,640,752 1,320,376 660,188 330,094 165,047 495,142 247,571 742,714 371,357 1,114,072 557,036 278,518 139,259 417,778 208,889 626,668 313,334 156,667

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