3³ × 7² × 29

Prime Factor Structure

Factorization String 3^3 × 7^2 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 68,400

Proper Divisor Sum 30,033

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #38351 ← → #38371

1 3 7 9 21 27 29 49 63 87 147 189 203 261 441 609 783 1,323 1,421 1,827 4,263 5,481 12,789 38,367

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

38,367 115,102 57,551 172,654 86,327 258,982 129,491 388,474 194,237 582,712 291,356 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764

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