443,235

3 × 5 × 13 × 2273

443,235 factors as 3 × 5 × 13 × 2273. Its 16 positive divisors give a proper-divisor sum of 320,829, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 2273

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 764,064

Proper Divisor Sum 320,829

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #443231 ← → #443237

Radix Representation

Decimal	443235
Binary	1101100001101100011 (19 bits)
Octal	0o1541543
Hexadecimal	0x6C363

Divisor Catalog (16)

1 3 5 13 15 39 65 195 2,273 6,819 11,365 29,549 34,095 88,647 147,745 443,235

Collatz Trajectory (81 steps to reach 1)

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

443,235 1,329,706 664,853 1,994,560 997,280 498,640 249,320 124,660 62,330 31,165 93,496 46,748 23,374 11,687 35,062 17,531 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469

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