850,317

3 × 13 × 21803

850,317 factors as 3 × 13 × 21803. Its 8 positive divisors give a proper-divisor sum of 370,707, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3 × 13 × 21803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,221,024

Proper Divisor Sum 370,707

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #850303 ← → #850331

Radix Representation

Decimal	850317
Binary	11001111100110001101 (20 bits)
Octal	0o3174615
Hexadecimal	0xCF98D

Divisor Catalog (8)

1 3 13 39 21,803 65,409 283,439 850,317

Collatz Trajectory (113 steps to reach 1)

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

850,317 2,550,952 1,275,476 637,738 318,869 956,608 478,304 239,152 119,576 59,788 29,894 14,947 44,842 22,421 67,264 33,632 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901

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