3 × 5² × 7 × 13 × 29

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 416,640

Proper Divisor Sum 218,715

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #197921 ← → #197927

1 3 5 7 13 15 21 25 29 35 39 65 75 87 91 105 145 175 195 203 273 325 377 435 455 525 609 725 975 1,015 1,131 1,365 1,885 2,175 2,275 2,639 3,045 5,075 5,655 6,825 7,917 9,425 13,195 15,225 28,275 39,585 65,975 197,925

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

197,925 593,776 296,888 148,444 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 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256

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