3³ × 5 × 7 × 11

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,040

Proper Divisor Sum 12,645

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10391 ← → #10399

1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1,155 1,485 2,079 3,465 10,395

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

10,395 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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