350,811

3⁴ × 61 × 71

350,811 factors as 3^4 × 61 × 71. Its 20 positive divisors give a proper-divisor sum of 189,333, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3^4 × 61 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 540,144

Proper Divisor Sum 189,333

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #350809 ← → #350843

Radix Representation

Decimal	350811
Binary	1010101101001011011 (19 bits)
Octal	0o1255133
Hexadecimal	0x55A5B

Divisor Catalog (20)

1 3 9 27 61 71 81 183 213 549 639 1,647 1,917 4,331 4,941 5,751 12,993 38,979 116,937 350,811

Collatz Trajectory (153 steps to reach 1)

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

350,811 1,052,434 526,217 1,578,652 789,326 394,663 1,183,990 591,995 1,775,986 887,993 2,663,980 1,331,990 665,995 1,997,986 998,993 2,996,980 1,498,490 749,245 2,247,736 1,123,868 561,934 280,967 842,902 421,451 1,264,354 632,177 1,896,532 948,266 474,133 1,422,400 711,200 355,600 177,800 88,900 44,450 22,225 66,676 33,338 16,669 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355

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