3 × 5 × 7² × 59

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 82,080

Proper Divisor Sum 38,715

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #43331 ← → #43391

1 3 5 7 15 21 35 49 59 105 147 177 245 295 413 735 885 1,239 2,065 2,891 6,195 8,673 14,455 43,365

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

43,365 130,096 65,048 32,524 16,262 8,131 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452

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