443,829

3 × 337 × 439

443,829 factors as 3 × 337 × 439. Its 8 positive divisors give a proper-divisor sum of 151,051, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3 × 337 × 439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 594,880

Proper Divisor Sum 151,051

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #443791 ← → #443837

Radix Representation

Decimal	443829
Binary	1101100010110110101 (19 bits)
Octal	0o1542665
Hexadecimal	0x6C5B5

Divisor Catalog (8)

1 3 337 439 1,011 1,317 147,943 443,829

Collatz Trajectory (187 steps to reach 1)

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

443,829 1,331,488 665,744 332,872 166,436 83,218 41,609 124,828 62,414 31,207 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470

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