350,765

5 × 31² × 73

For 350,765, the 12 positive divisors have a total of 440,892. Removing 350,765 leaves 90,127, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 31^2 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 440,892

Proper Divisor Sum 90,127

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #350747 ← → #350767

Radix Representation

Decimal	350765
Binary	1010101101000101101 (19 bits)
Octal	0o1255055
Hexadecimal	0x55A2D

Divisor Catalog (12)

1 5 31 73 155 365 961 2,263 4,805 11,315 70,153 350,765

Collatz Trajectory (197 steps to reach 1)

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

350,765 1,052,296 526,148 263,074 131,537 394,612 197,306 98,653 295,960 147,980 73,990 36,995 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364

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