796,986

2 × 3³ × 14759

796,986 factors as 2 × 3^3 × 14759. Its 16 positive divisors give a proper-divisor sum of 974,214, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 14759

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,771,200

Proper Divisor Sum 974,214

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #796981 ← → #797003

Radix Representation

Decimal	796986
Binary	11000010100100111010 (20 bits)
Octal	0o3024472
Hexadecimal	0xC293A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 14,759 29,518 44,277 88,554 132,831 265,662 398,493 796,986

Collatz Trajectory (193 steps to reach 1)

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

796,986 398,493 1,195,480 597,740 298,870 149,435 448,306 224,153 672,460 336,230 168,115 504,346 252,173 756,520 378,260 189,130 94,565 283,696 141,848 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068

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