3 × 5² × 7² × 11

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 84,816

Proper Divisor Sum 44,391

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #40423 ← → #40427

1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1,155 1,225 1,617 1,925 2,695 3,675 5,775 8,085 13,475 40,425

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

40,425 121,276 60,638 30,319 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

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