3² × 5² × 17²

Prime Factor Structure

Factorization String 3^2 × 5^2 × 17^2

Distinct Prime Factors 3

Square Status Yes (√65025 = 255)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 123,721

Proper Divisor Sum 58,696

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #65011 ← → #65027

1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 1,275 1,445 2,601 3,825 4,335 7,225 13,005 21,675 65,025

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

65,025 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71

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