3 × 7² × 11 × 19

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 54,720

Proper Divisor Sum 23,997

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #30713 ← → #30727

1 3 7 11 19 21 33 49 57 77 133 147 209 231 399 539 627 931 1,463 1,617 2,793 4,389 10,241 30,723

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

30,723 92,170 46,085 138,256 69,128 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

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