3³ × 11 × 13²

Prime Factor Structure

Factorization String 3^3 × 11 × 13^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 87,840

Proper Divisor Sum 37,647

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #50177 ← → #50207

1 3 9 11 13 27 33 39 99 117 143 169 297 351 429 507 1,287 1,521 1,859 3,861 4,563 5,577 16,731 50,193

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

50,193 150,580 75,290 37,645 112,936 56,468 28,234 14,117 42,352 21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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