827,039

827039

827,039 factors as 827039. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 827039

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 827,040

Proper Divisor Sum 1

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #827023 ← → #827041

Radix Representation

Decimal	827039
Binary	11001001111010011111 (20 bits)
Octal	0o3117237
Hexadecimal	0xC9E9F

Divisor Catalog (2)

1 827,039

Collatz Trajectory (162 steps to reach 1)

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

827,039 2,481,118 1,240,559 3,721,678 1,860,839 5,582,518 2,791,259 8,373,778 4,186,889 12,560,668 6,280,334 3,140,167 9,420,502 4,710,251 14,130,754 7,065,377 21,196,132 10,598,066 5,299,033 15,897,100 7,948,550 3,974,275 11,922,826 5,961,413 17,884,240 8,942,120 4,471,060 2,235,530 1,117,765 3,353,296 1,676,648 838,324 419,162 209,581 628,744 314,372 157,186 78,593 235,780 117,890 58,945 176,836 88,418 44,209 132,628 66,314 33,157 99,472 49,736 24,868 12,434 6,217 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480

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