3 × 5 × 7² × 41

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 57,456

Proper Divisor Sum 27,321

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #30133 ← → #30137

1 3 5 7 15 21 35 41 49 105 123 147 205 245 287 615 735 861 1,435 2,009 4,305 6,027 10,045 30,135

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

30,135 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308

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