3⁷ × 5² × 7 × 17

Prime Factor Structure

Factorization String 3^7 × 5^2 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,641,920

Proper Divisor Sum 8,135,595

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6506323 ← → #6506327

1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 81 85 105 119 135 153 175 189 225 243 255 315 357 405 425 459 525 567 595 675 729 765 945 1,071 1,215 1,275 1,377 1,575 1,701 1,785 2,025 2,187 2,295 2,835 2,975 3,213 3,645 3,825 4,131 4,725 5,103 5,355 6,075 6,885 8,505

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

6,506,325 19,518,976 9,759,488 4,879,744 2,439,872 1,219,936 609,968 304,984 152,492 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32

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