3³ × 5 × 7² × 11

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 164,160

Proper Divisor Sum 91,395

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72763 ← → #72767

1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 945 1,155 1,323 1,485 1,617 2,079 2,205 2,695 3,465 4,851 6,615 8,085 10,395 14,553 24,255 72,765

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

72,765 218,296 109,148 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466

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