789,966

2 × 3³ × 14629

789,966 factors as 2 × 3^3 × 14629. Its 16 positive divisors give a proper-divisor sum of 965,634, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 14629

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,755,600

Proper Divisor Sum 965,634

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #789961 ← → #789967

Radix Representation

Decimal	789966
Binary	11000000110111001110 (20 bits)
Octal	0o3006716
Hexadecimal	0xC0DCE

Divisor Catalog (16)

1 2 3 6 9 18 27 54 14,629 29,258 43,887 87,774 131,661 263,322 394,983 789,966

Collatz Trajectory (268 steps to reach 1)

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

789,966 394,983 1,184,950 592,475 1,777,426 888,713 2,666,140 1,333,070 666,535 1,999,606 999,803 2,999,410 1,499,705 4,499,116 2,249,558 1,124,779 3,374,338 1,687,169 5,061,508 2,530,754 1,265,377 3,796,132 1,898,066 949,033 2,847,100 1,423,550 711,775 2,135,326 1,067,663 3,202,990 1,601,495 4,804,486 2,402,243 7,206,730 3,603,365 10,810,096 5,405,048 2,702,524 1,351,262 675,631 2,026,894 1,013,447 3,040,342 1,520,171 4,560,514 2,280,257 6,840,772 3,420,386 1,710,193 5,130,580 2,565,290 1,282,645 3,847,936 1,923,968 961,984 480,992 240,496 120,248 60,124 30,062

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