3³ × 5 × 11 × 23

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 69,120

Proper Divisor Sum 34,965

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #34147 ← → #34157

1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1,035 1,265 1,485 2,277 3,105 3,795 6,831 11,385 34,155

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

34,155 102,466 51,233 153,700 76,850 38,425 115,276 57,638 28,819 86,458 43,229 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217

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