3⁵ × 5 × 7²

Prime Factor Structure

Factorization String 3^5 × 5 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 124,488

Proper Divisor Sum 64,953

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #59513 ← → #59539

1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 735 945 1,215 1,323 1,701 2,205 2,835 3,969 6,615 8,505 11,907 19,845 59,535

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

59,535 178,606 89,303 267,910 133,955 401,866 200,933 602,800 301,400 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11

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