3² × 5 × 7 × 11 × 17

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 134,784

Proper Divisor Sum 75,879

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #58901 ← → #58907

1 3 5 7 9 11 15 17 21 33 35 45 51 55 63 77 85 99 105 119 153 165 187 231 255 315 357 385 495 561 595 693 765 935 1,071 1,155 1,309 1,683 1,785 2,805 3,465 3,927 5,355 6,545 8,415 11,781 19,635 58,905

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

58,905 176,716 88,358 44,179 132,538 66,269 198,808 99,404 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456

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