443,955

3 × 5 × 17 × 1741

443,955 factors as 3 × 5 × 17 × 1741. Its 16 positive divisors give a proper-divisor sum of 308,589, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 752,544

Proper Divisor Sum 308,589

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #443953 ← → #443983

Radix Representation

Decimal	443955
Binary	1101100011000110011 (19 bits)
Octal	0o1543063
Hexadecimal	0x6C633

Divisor Catalog (16)

1 3 5 15 17 51 85 255 1,741 5,223 8,705 26,115 29,597 88,791 147,985 443,955

Collatz Trajectory (218 steps to reach 1)

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

443,955 1,331,866 665,933 1,997,800 998,900 499,450 249,725 749,176 374,588 187,294 93,647 280,942 140,471 421,414 210,707 632,122 316,061 948,184 474,092 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144 480,572 240,286 120,143 360,430 180,215 540,646 270,323 810,970 405,485 1,216,456 608,228

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