3³ × 5 × 7 × 29

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 57,600

Proper Divisor Sum 30,195

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27397 ← → #27407

1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 189 203 261 315 435 609 783 945 1,015 1,305 1,827 3,045 3,915 5,481 9,135 27,405

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

27,405 82,216 41,108 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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