3² × 5³ × 73

Prime Factor Structure

Factorization String 3^2 × 5^3 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 150,072

Proper Divisor Sum 67,947

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #82073 ← → #82129

1 3 5 9 15 25 45 73 75 125 219 225 365 375 657 1,095 1,125 1,825 3,285 5,475 9,125 16,425 27,375 82,125

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

82,125 246,376 123,188 61,594 30,797 92,392 46,196 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526

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