3³ × 5² × 7²

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 70,680

Proper Divisor Sum 37,605

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #33073 ← → #33083

1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 525 675 735 945 1,225 1,323 1,575 2,205 3,675 4,725 6,615 11,025 33,075

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

33,075 99,226 49,613 148,840 74,420 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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