171,441

3² × 43 × 443

171,441 has the prime decomposition 3^2 × 43 × 443. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 253,968

Proper Divisor Sum 82,527

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #171439 ← → #171449

Radix Representation

Decimal	171441
Binary	101001110110110001 (18 bits)
Octal	0o516661
Hexadecimal	0x29DB1

Divisor Catalog (12)

1 3 9 43 129 387 443 1,329 3,987 19,049 57,147 171,441

Collatz Trajectory (196 steps to reach 1)

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

171,441 514,324 257,162 128,581 385,744 192,872 96,436 48,218 24,109 72,328 36,164 18,082 9,041 27,124 13,562 6,781 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184

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