3³ × 5³ × 7

Prime Factor Structure

Factorization String 3^3 × 5^3 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 49,920

Proper Divisor Sum 26,295

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #23623 ← → #23627

1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1,125 1,575 2,625 3,375 4,725 7,875 23,625

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

23,625 70,876 35,438 17,719 53,158 26,579 79,738 39,869 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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