786,189

3 × 503 × 521

786,189 factors as 3 × 503 × 521. Its 8 positive divisors give a proper-divisor sum of 266,163, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 503 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,052,352

Proper Divisor Sum 266,163

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #786179 ← → #786197

Radix Representation

Decimal	786189
Binary	10111111111100001101 (20 bits)
Octal	0o2777415
Hexadecimal	0xBFF0D

Divisor Catalog (8)

1 3 503 521 1,509 1,563 262,063 786,189

Collatz Trajectory (131 steps to reach 1)

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

786,189 2,358,568 1,179,284 589,642 294,821 884,464 442,232 221,116 110,558 55,279 165,838 82,919 248,758 124,379 373,138 186,569 559,708 279,854 139,927 419,782 209,891 629,674 314,837 944,512 472,256 236,128 118,064 59,032 29,516 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990

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