3 × 7 × 11² × 13

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 59,584

Proper Divisor Sum 26,551

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #33029 ← → #33037

1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1,001 1,573 2,541 3,003 4,719 11,011 33,033

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

33,033 99,100 49,550 24,775 74,326 37,163 111,490 55,745 167,236 83,618 41,809 125,428 62,714 31,357 94,072 47,036 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689 119,068 59,534 29,767 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 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

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