783,249

3 × 131 × 1993

783,249 factors as 3 × 131 × 1993. Its 8 positive divisors give a proper-divisor sum of 269,583, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 131 × 1993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,052,832

Proper Divisor Sum 269,583

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #783247 ← → #783257

Radix Representation

Decimal	783249
Binary	10111111001110010001 (20 bits)
Octal	0o2771621
Hexadecimal	0xBF391

Divisor Catalog (8)

1 3 131 393 1,993 5,979 261,083 783,249

Collatz Trajectory (105 steps to reach 1)

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

783,249 2,349,748 1,174,874 587,437 1,762,312 881,156 440,578 220,289 660,868 330,434 165,217 495,652 247,826 123,913 371,740 185,870 92,935 278,806 139,403 418,210 209,105 627,316 313,658 156,829 470,488 235,244 117,622 58,811 176,434 88,217 264,652 132,326 66,163 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810

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