443,365

5 × 13 × 19 × 359

443,365 factors as 5 × 13 × 19 × 359. Its 16 positive divisors give a proper-divisor sum of 161,435, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 604,800

Proper Divisor Sum 161,435

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #443363 ← → #443369

Radix Representation

Decimal	443365
Binary	1101100001111100101 (19 bits)
Octal	0o1541745
Hexadecimal	0x6C3E5

Divisor Catalog (16)

1 5 13 19 65 95 247 359 1,235 1,795 4,667 6,821 23,335 34,105 88,673 443,365

Collatz Trajectory (81 steps to reach 1)

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

443,365 1,330,096 665,048 332,524 166,262 83,131 249,394 124,697 374,092 187,046 93,523 280,570 140,285 420,856 210,428 105,214 52,607 157,822 78,911 236,734 118,367 355,102 177,551 532,654 266,327 798,982 399,491 1,198,474 599,237 1,797,712 898,856 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469

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